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Finding the Fourth Proportional to 3,706.92, 5,561.64 and 3,693.24

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Solution

The fourth proportional to 3,706.92, 5,561.64 and 3,693.24 is: 5,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.92 : 5,561.64 = 3,693.24 : x
  2. Step 2: Convert to fraction form
    3,706.92/5,561.64 = 3,693.24/x
  3. Step 3: Cross multiply
    3,706.92x = 5,561.64 × 3,693.24
  4. Step 4: Simplify right side
    3,706.92x = 20,540,471.31
  5. Step 5: Solve for x
    x = 20,540,471.31/3,706.92
  6. Step 6: Final answer
    x = 5,541.12

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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.