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Finding the Fourth Proportional to 3,737.92, 5,559.36 and 3,664.24

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Solution

The fourth proportional to 3,737.92, 5,559.36 and 3,664.24 is: 5,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.92 : 5,559.36 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    3,737.92/5,559.36 = 3,664.24/x
  3. Step 3: Cross multiply
    3,737.92x = 5,559.36 × 3,664.24
  4. Step 4: Simplify right side
    3,737.92x = 20,370,829.29
  5. Step 5: Solve for x
    x = 20,370,829.29/3,737.92
  6. Step 6: Final answer
    x = 5,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.