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Finding the Fourth Proportional to 3,710.22, 5,092.82 and 3,281.17

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Solution

The fourth proportional to 3,710.22, 5,092.82 and 3,281.17 is: 4,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.22 : 5,092.82 = 3,281.17 : x
  2. Step 2: Convert to fraction form
    3,710.22/5,092.82 = 3,281.17/x
  3. Step 3: Cross multiply
    3,710.22x = 5,092.82 × 3,281.17
  4. Step 4: Simplify right side
    3,710.22x = 16,710,408.20
  5. Step 5: Solve for x
    x = 16,710,408.20/3,710.22
  6. Step 6: Final answer
    x = 4,503.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.