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Finding the Fourth Proportional to 6,593.21, 9,098.85 and 3,761

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Solution

The fourth proportional to 6,593.21, 9,098.85 and 3,761 is: 5,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.21 : 9,098.85 = 3,761 : x
  2. Step 2: Convert to fraction form
    6,593.21/9,098.85 = 3,761/x
  3. Step 3: Cross multiply
    6,593.21x = 9,098.85 × 3,761
  4. Step 4: Simplify right side
    6,593.21x = 34,220,774.85
  5. Step 5: Solve for x
    x = 34,220,774.85/6,593.21
  6. Step 6: Final answer
    x = 5,190.31

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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.