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Finding the Fourth Proportional to 5,737.74, 7,914.72 and 3,609.91

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Solution

The fourth proportional to 5,737.74, 7,914.72 and 3,609.91 is: 4,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.74 : 7,914.72 = 3,609.91 : x
  2. Step 2: Convert to fraction form
    5,737.74/7,914.72 = 3,609.91/x
  3. Step 3: Cross multiply
    5,737.74x = 7,914.72 × 3,609.91
  4. Step 4: Simplify right side
    5,737.74x = 28,571,426.88
  5. Step 5: Solve for x
    x = 28,571,426.88/5,737.74
  6. Step 6: Final answer
    x = 4,979.56

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