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Finding the Fourth Proportional to 4,447.57, 6,140.49 and 2,854.90

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Solution

The fourth proportional to 4,447.57, 6,140.49 and 2,854.90 is: 3,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.57 : 6,140.49 = 2,854.90 : x
  2. Step 2: Convert to fraction form
    4,447.57/6,140.49 = 2,854.90/x
  3. Step 3: Cross multiply
    4,447.57x = 6,140.49 × 2,854.90
  4. Step 4: Simplify right side
    4,447.57x = 17,530,454.20
  5. Step 5: Solve for x
    x = 17,530,454.20/4,447.57
  6. Step 6: Final answer
    x = 3,941.58

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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.