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Finding the Fourth Proportional to 3,543.60, 4,896.92 and 2,657.87

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Solution

The fourth proportional to 3,543.60, 4,896.92 and 2,657.87 is: 3,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.60 : 4,896.92 = 2,657.87 : x
  2. Step 2: Convert to fraction form
    3,543.60/4,896.92 = 2,657.87/x
  3. Step 3: Cross multiply
    3,543.60x = 4,896.92 × 2,657.87
  4. Step 4: Simplify right side
    3,543.60x = 13,015,338.99
  5. Step 5: Solve for x
    x = 13,015,338.99/3,543.60
  6. Step 6: Final answer
    x = 3,672.91

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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.