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Finding the Fourth Proportional to 4,447.31, 6,140.15 and 2,854.64

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Solution

The fourth proportional to 4,447.31, 6,140.15 and 2,854.64 is: 3,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.31 : 6,140.15 = 2,854.64 : x
  2. Step 2: Convert to fraction form
    4,447.31/6,140.15 = 2,854.64/x
  3. Step 3: Cross multiply
    4,447.31x = 6,140.15 × 2,854.64
  4. Step 4: Simplify right side
    4,447.31x = 17,527,918.87
  5. Step 5: Solve for x
    x = 17,527,918.87/4,447.31
  6. Step 6: Final answer
    x = 3,941.24

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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.