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Finding the Fourth Proportional to 5,537.98, 8,308.12 and 2,614.69

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Solution

The fourth proportional to 5,537.98, 8,308.12 and 2,614.69 is: 3,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.98 : 8,308.12 = 2,614.69 : x
  2. Step 2: Convert to fraction form
    5,537.98/8,308.12 = 2,614.69/x
  3. Step 3: Cross multiply
    5,537.98x = 8,308.12 × 2,614.69
  4. Step 4: Simplify right side
    5,537.98x = 21,723,158.28
  5. Step 5: Solve for x
    x = 21,723,158.28/5,537.98
  6. Step 6: Final answer
    x = 3,922.58

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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.