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Finding the Fourth Proportional to 4,691.75, 6,474.78 and 2,567.14

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Solution

The fourth proportional to 4,691.75, 6,474.78 and 2,567.14 is: 3,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.75 : 6,474.78 = 2,567.14 : x
  2. Step 2: Convert to fraction form
    4,691.75/6,474.78 = 2,567.14/x
  3. Step 3: Cross multiply
    4,691.75x = 6,474.78 × 2,567.14
  4. Step 4: Simplify right side
    4,691.75x = 16,621,679.74
  5. Step 5: Solve for x
    x = 16,621,679.74/4,691.75
  6. Step 6: Final answer
    x = 3,542.75

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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.