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Finding the Fourth Proportional to 3,997.85, 5,997.50 and 1,224.47

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Solution

The fourth proportional to 3,997.85, 5,997.50 and 1,224.47 is: 1,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.85 : 5,997.50 = 1,224.47 : x
  2. Step 2: Convert to fraction form
    3,997.85/5,997.50 = 1,224.47/x
  3. Step 3: Cross multiply
    3,997.85x = 5,997.50 × 1,224.47
  4. Step 4: Simplify right side
    3,997.85x = 7,343,758.83
  5. Step 5: Solve for x
    x = 7,343,758.83/3,997.85
  6. Step 6: Final answer
    x = 1,836.93

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Double scale
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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.