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Finding the Fourth Proportional to 5,497.88, 8,239.70 and 3,522.74

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Solution

The fourth proportional to 5,497.88, 8,239.70 and 3,522.74 is: 5,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.88 : 8,239.70 = 3,522.74 : x
  2. Step 2: Convert to fraction form
    5,497.88/8,239.70 = 3,522.74/x
  3. Step 3: Cross multiply
    5,497.88x = 8,239.70 × 3,522.74
  4. Step 4: Simplify right side
    5,497.88x = 29,026,261.97
  5. Step 5: Solve for x
    x = 29,026,261.97/5,497.88
  6. Step 6: Final answer
    x = 5,279.54

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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.