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Finding the Fourth Proportional to 4,177.59, 6,264.42 and 1,543.28

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Solution

The fourth proportional to 4,177.59, 6,264.42 and 1,543.28 is: 2,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.59 : 6,264.42 = 1,543.28 : x
  2. Step 2: Convert to fraction form
    4,177.59/6,264.42 = 1,543.28/x
  3. Step 3: Cross multiply
    4,177.59x = 6,264.42 × 1,543.28
  4. Step 4: Simplify right side
    4,177.59x = 9,667,722.78
  5. Step 5: Solve for x
    x = 9,667,722.78/4,177.59
  6. Step 6: Final answer
    x = 2,314.19

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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.