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Finding the Fourth Proportional to 3,754.70, 5,632.08 and 1,157.66

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Solution

The fourth proportional to 3,754.70, 5,632.08 and 1,157.66 is: 1,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.70 : 5,632.08 = 1,157.66 : x
  2. Step 2: Convert to fraction form
    3,754.70/5,632.08 = 1,157.66/x
  3. Step 3: Cross multiply
    3,754.70x = 5,632.08 × 1,157.66
  4. Step 4: Simplify right side
    3,754.70x = 6,520,033.73
  5. Step 5: Solve for x
    x = 6,520,033.73/3,754.70
  6. Step 6: Final answer
    x = 1,736.50

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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.