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Finding the Fourth Proportional to 4,691.34, 6,474 and 2,566.85

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Solution

The fourth proportional to 4,691.34, 6,474 and 2,566.85 is: 3,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.34 : 6,474 = 2,566.85 : x
  2. Step 2: Convert to fraction form
    4,691.34/6,474 = 2,566.85/x
  3. Step 3: Cross multiply
    4,691.34x = 6,474 × 2,566.85
  4. Step 4: Simplify right side
    4,691.34x = 16,617,786.90
  5. Step 5: Solve for x
    x = 16,617,786.90/4,691.34
  6. Step 6: Final answer
    x = 3,542.23

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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.