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Finding the Fourth Proportional to 5,092.52, 7,624.20 and 3,138.80

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Solution

The fourth proportional to 5,092.52, 7,624.20 and 3,138.80 is: 4,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.52 : 7,624.20 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    5,092.52/7,624.20 = 3,138.80/x
  3. Step 3: Cross multiply
    5,092.52x = 7,624.20 × 3,138.80
  4. Step 4: Simplify right side
    5,092.52x = 23,930,846.67
  5. Step 5: Solve for x
    x = 23,930,846.67/5,092.52
  6. Step 6: Final answer
    x = 4,699.21

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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.