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Finding the Fourth Proportional to 3,854.49, 5,319.17 and 2,086.05

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Solution

The fourth proportional to 3,854.49, 5,319.17 and 2,086.05 is: 2,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.49 : 5,319.17 = 2,086.05 : x
  2. Step 2: Convert to fraction form
    3,854.49/5,319.17 = 2,086.05/x
  3. Step 3: Cross multiply
    3,854.49x = 5,319.17 × 2,086.05
  4. Step 4: Simplify right side
    3,854.49x = 11,096,044.15
  5. Step 5: Solve for x
    x = 11,096,044.15/3,854.49
  6. Step 6: Final answer
    x = 2,878.73

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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.