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Finding the Fourth Proportional to 4,454.84, 6,147.70 and 2,567

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Solution

The fourth proportional to 4,454.84, 6,147.70 and 2,567 is: 3,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.84 : 6,147.70 = 2,567 : x
  2. Step 2: Convert to fraction form
    4,454.84/6,147.70 = 2,567/x
  3. Step 3: Cross multiply
    4,454.84x = 6,147.70 × 2,567
  4. Step 4: Simplify right side
    4,454.84x = 15,781,145.90
  5. Step 5: Solve for x
    x = 15,781,145.90/4,454.84
  6. Step 6: Final answer
    x = 3,542.47

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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.