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Finding the Fourth Proportional to 3,873.69, 5,348.14 and 2,549.61

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Solution

The fourth proportional to 3,873.69, 5,348.14 and 2,549.61 is: 3,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.69 : 5,348.14 = 2,549.61 : x
  2. Step 2: Convert to fraction form
    3,873.69/5,348.14 = 2,549.61/x
  3. Step 3: Cross multiply
    3,873.69x = 5,348.14 × 2,549.61
  4. Step 4: Simplify right side
    3,873.69x = 13,635,664.85
  5. Step 5: Solve for x
    x = 13,635,664.85/3,873.69
  6. Step 6: Final answer
    x = 3,520.07

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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.