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Finding the Fourth Proportional to 3,027.57, 4,543.10 and 1,272.43

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Solution

The fourth proportional to 3,027.57, 4,543.10 and 1,272.43 is: 1,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.57 : 4,543.10 = 1,272.43 : x
  2. Step 2: Convert to fraction form
    3,027.57/4,543.10 = 1,272.43/x
  3. Step 3: Cross multiply
    3,027.57x = 4,543.10 × 1,272.43
  4. Step 4: Simplify right side
    3,027.57x = 5,780,787.98
  5. Step 5: Solve for x
    x = 5,780,787.98/3,027.57
  6. Step 6: Final answer
    x = 1,909.38

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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.