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Finding the Fourth Proportional to 4,691.30, 6,473.76 and 2,566.78

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Solution

The fourth proportional to 4,691.30, 6,473.76 and 2,566.78 is: 3,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.30 : 6,473.76 = 2,566.78 : x
  2. Step 2: Convert to fraction form
    4,691.30/6,473.76 = 2,566.78/x
  3. Step 3: Cross multiply
    4,691.30x = 6,473.76 × 2,566.78
  4. Step 4: Simplify right side
    4,691.30x = 16,616,717.69
  5. Step 5: Solve for x
    x = 16,616,717.69/4,691.30
  6. Step 6: Final answer
    x = 3,542.03

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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.