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Finding the Fourth Proportional to 5,442.98, 7,517.42 and 3,671.50

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Solution

The fourth proportional to 5,442.98, 7,517.42 and 3,671.50 is: 5,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.98 : 7,517.42 = 3,671.50 : x
  2. Step 2: Convert to fraction form
    5,442.98/7,517.42 = 3,671.50/x
  3. Step 3: Cross multiply
    5,442.98x = 7,517.42 × 3,671.50
  4. Step 4: Simplify right side
    5,442.98x = 27,600,207.53
  5. Step 5: Solve for x
    x = 27,600,207.53/5,442.98
  6. Step 6: Final answer
    x = 5,070.79

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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.