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Finding the Fourth Proportional to 3,734.30, 5,601.56 and 1,543.05

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Solution

The fourth proportional to 3,734.30, 5,601.56 and 1,543.05 is: 2,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.30 : 5,601.56 = 1,543.05 : x
  2. Step 2: Convert to fraction form
    3,734.30/5,601.56 = 1,543.05/x
  3. Step 3: Cross multiply
    3,734.30x = 5,601.56 × 1,543.05
  4. Step 4: Simplify right side
    3,734.30x = 8,643,479.44
  5. Step 5: Solve for x
    x = 8,643,479.44/3,734.30
  6. Step 6: Final answer
    x = 2,314.62

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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.