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Finding the Fourth Proportional to 4,138.64, 5,711.22 and 2,275.64

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Solution

The fourth proportional to 4,138.64, 5,711.22 and 2,275.64 is: 3,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.64 : 5,711.22 = 2,275.64 : x
  2. Step 2: Convert to fraction form
    4,138.64/5,711.22 = 2,275.64/x
  3. Step 3: Cross multiply
    4,138.64x = 5,711.22 × 2,275.64
  4. Step 4: Simplify right side
    4,138.64x = 12,996,680.68
  5. Step 5: Solve for x
    x = 12,996,680.68/4,138.64
  6. Step 6: Final answer
    x = 3,140.33

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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.