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Finding the Fourth Proportional to 4,446.81, 6,139.46 and 2,854.15

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Solution

The fourth proportional to 4,446.81, 6,139.46 and 2,854.15 is: 3,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.81 : 6,139.46 = 2,854.15 : x
  2. Step 2: Convert to fraction form
    4,446.81/6,139.46 = 2,854.15/x
  3. Step 3: Cross multiply
    4,446.81x = 6,139.46 × 2,854.15
  4. Step 4: Simplify right side
    4,446.81x = 17,522,909.06
  5. Step 5: Solve for x
    x = 17,522,909.06/4,446.81
  6. Step 6: Final answer
    x = 3,940.56

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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.