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Finding the Fourth Proportional to 5,174.52, 7,761.80 and 2,098.68

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Solution

The fourth proportional to 5,174.52, 7,761.80 and 2,098.68 is: 3,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.52 : 7,761.80 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    5,174.52/7,761.80 = 2,098.68/x
  3. Step 3: Cross multiply
    5,174.52x = 7,761.80 × 2,098.68
  4. Step 4: Simplify right side
    5,174.52x = 16,289,534.42
  5. Step 5: Solve for x
    x = 16,289,534.42/5,174.52
  6. Step 6: Final answer
    x = 3,148.03

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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.