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Finding the Fourth Proportional to 3,687.90, 5,089.11 and 2,290.62

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Solution

The fourth proportional to 3,687.90, 5,089.11 and 2,290.62 is: 3,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.90 : 5,089.11 = 2,290.62 : x
  2. Step 2: Convert to fraction form
    3,687.90/5,089.11 = 2,290.62/x
  3. Step 3: Cross multiply
    3,687.90x = 5,089.11 × 2,290.62
  4. Step 4: Simplify right side
    3,687.90x = 11,657,217.15
  5. Step 5: Solve for x
    x = 11,657,217.15/3,687.90
  6. Step 6: Final answer
    x = 3,160.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.