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Finding the Fourth Proportional to 5,577.57, 7,691.22 and 3,586.50

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Solution

The fourth proportional to 5,577.57, 7,691.22 and 3,586.50 is: 4,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.57 : 7,691.22 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    5,577.57/7,691.22 = 3,586.50/x
  3. Step 3: Cross multiply
    5,577.57x = 7,691.22 × 3,586.50
  4. Step 4: Simplify right side
    5,577.57x = 27,584,560.53
  5. Step 5: Solve for x
    x = 27,584,560.53/5,577.57
  6. Step 6: Final answer
    x = 4,945.62

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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.