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Finding the Fourth Proportional to 5,537.16, 8,308.17 and 2,614.68

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Solution

The fourth proportional to 5,537.16, 8,308.17 and 2,614.68 is: 3,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.16 : 8,308.17 = 2,614.68 : x
  2. Step 2: Convert to fraction form
    5,537.16/8,308.17 = 2,614.68/x
  3. Step 3: Cross multiply
    5,537.16x = 8,308.17 × 2,614.68
  4. Step 4: Simplify right side
    5,537.16x = 21,723,205.94
  5. Step 5: Solve for x
    x = 21,723,205.94/5,537.16
  6. Step 6: Final answer
    x = 3,923.17

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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.