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Finding the Fourth Proportional to 3,754.98, 5,632.47 and 1,447.02

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Solution

The fourth proportional to 3,754.98, 5,632.47 and 1,447.02 is: 2,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.98 : 5,632.47 = 1,447.02 : x
  2. Step 2: Convert to fraction form
    3,754.98/5,632.47 = 1,447.02/x
  3. Step 3: Cross multiply
    3,754.98x = 5,632.47 × 1,447.02
  4. Step 4: Simplify right side
    3,754.98x = 8,150,296.74
  5. Step 5: Solve for x
    x = 8,150,296.74/3,754.98
  6. Step 6: Final answer
    x = 2,170.53

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.