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Finding the Fourth Proportional to 3,854.43, 5,319.11 and 2,086.03

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Solution

The fourth proportional to 3,854.43, 5,319.11 and 2,086.03 is: 2,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.43 : 5,319.11 = 2,086.03 : x
  2. Step 2: Convert to fraction form
    3,854.43/5,319.11 = 2,086.03/x
  3. Step 3: Cross multiply
    3,854.43x = 5,319.11 × 2,086.03
  4. Step 4: Simplify right side
    3,854.43x = 11,095,823.03
  5. Step 5: Solve for x
    x = 11,095,823.03/3,854.43
  6. Step 6: Final answer
    x = 2,878.72

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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.