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Finding the Fourth Proportional to 3,737.92, 5,606.90 and 1,140.88

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Solution

The fourth proportional to 3,737.92, 5,606.90 and 1,140.88 is: 1,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.92 : 5,606.90 = 1,140.88 : x
  2. Step 2: Convert to fraction form
    3,737.92/5,606.90 = 1,140.88/x
  3. Step 3: Cross multiply
    3,737.92x = 5,606.90 × 1,140.88
  4. Step 4: Simplify right side
    3,737.92x = 6,396,800.07
  5. Step 5: Solve for x
    x = 6,396,800.07/3,737.92
  6. Step 6: Final answer
    x = 1,711.33

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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.