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Finding the Fourth Proportional to 3,668.17, 5,502.25 and 1,586.47

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Solution

The fourth proportional to 3,668.17, 5,502.25 and 1,586.47 is: 2,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.17 : 5,502.25 = 1,586.47 : x
  2. Step 2: Convert to fraction form
    3,668.17/5,502.25 = 1,586.47/x
  3. Step 3: Cross multiply
    3,668.17x = 5,502.25 × 1,586.47
  4. Step 4: Simplify right side
    3,668.17x = 8,729,123.08
  5. Step 5: Solve for x
    x = 8,729,123.08/3,668.17
  6. Step 6: Final answer
    x = 2,379.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.