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Finding the Fourth Proportional to 4,265.64, 5,877.22 and 2,865.96

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Solution

The fourth proportional to 4,265.64, 5,877.22 and 2,865.96 is: 3,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.64 : 5,877.22 = 2,865.96 : x
  2. Step 2: Convert to fraction form
    4,265.64/5,877.22 = 2,865.96/x
  3. Step 3: Cross multiply
    4,265.64x = 5,877.22 × 2,865.96
  4. Step 4: Simplify right side
    4,265.64x = 16,843,877.43
  5. Step 5: Solve for x
    x = 16,843,877.43/4,265.64
  6. Step 6: Final answer
    x = 3,948.73

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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.