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Finding the Fourth Proportional to 5,737.13, 7,913.87 and 3,609.27

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Solution

The fourth proportional to 5,737.13, 7,913.87 and 3,609.27 is: 4,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.13 : 7,913.87 = 3,609.27 : x
  2. Step 2: Convert to fraction form
    5,737.13/7,913.87 = 3,609.27/x
  3. Step 3: Cross multiply
    5,737.13x = 7,913.87 × 3,609.27
  4. Step 4: Simplify right side
    5,737.13x = 28,563,275.53
  5. Step 5: Solve for x
    x = 28,563,275.53/5,737.13
  6. Step 6: Final answer
    x = 4,978.67

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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.