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Finding the Fourth Proportional to 5,613.71, 7,744.37 and 3,624.93

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Solution

The fourth proportional to 5,613.71, 7,744.37 and 3,624.93 is: 5,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.71 : 7,744.37 = 3,624.93 : x
  2. Step 2: Convert to fraction form
    5,613.71/7,744.37 = 3,624.93/x
  3. Step 3: Cross multiply
    5,613.71x = 7,744.37 × 3,624.93
  4. Step 4: Simplify right side
    5,613.71x = 28,072,781.02
  5. Step 5: Solve for x
    x = 28,072,781.02/5,613.71
  6. Step 6: Final answer
    x = 5,000.76

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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.