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Finding the Fourth Proportional to 5,737.24, 7,914.03 and 3,609.41

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Solution

The fourth proportional to 5,737.24, 7,914.03 and 3,609.41 is: 4,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.24 : 7,914.03 = 3,609.41 : x
  2. Step 2: Convert to fraction form
    5,737.24/7,914.03 = 3,609.41/x
  3. Step 3: Cross multiply
    5,737.24x = 7,914.03 × 3,609.41
  4. Step 4: Simplify right side
    5,737.24x = 28,564,979.02
  5. Step 5: Solve for x
    x = 28,564,979.02/5,737.24
  6. Step 6: Final answer
    x = 4,978.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.