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Finding the Fourth Proportional to 3,539.92, 4,887.96 and 3,166.24

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Solution

The fourth proportional to 3,539.92, 4,887.96 and 3,166.24 is: 4,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.92 : 4,887.96 = 3,166.24 : x
  2. Step 2: Convert to fraction form
    3,539.92/4,887.96 = 3,166.24/x
  3. Step 3: Cross multiply
    3,539.92x = 4,887.96 × 3,166.24
  4. Step 4: Simplify right side
    3,539.92x = 15,476,454.47
  5. Step 5: Solve for x
    x = 15,476,454.47/3,539.92
  6. Step 6: Final answer
    x = 4,371.98

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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.