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Finding the Fourth Proportional to 5,144.64, 7,709.78 and 2,891.16

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Solution

The fourth proportional to 5,144.64, 7,709.78 and 2,891.16 is: 4,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.64 : 7,709.78 = 2,891.16 : x
  2. Step 2: Convert to fraction form
    5,144.64/7,709.78 = 2,891.16/x
  3. Step 3: Cross multiply
    5,144.64x = 7,709.78 × 2,891.16
  4. Step 4: Simplify right side
    5,144.64x = 22,290,207.54
  5. Step 5: Solve for x
    x = 22,290,207.54/5,144.64
  6. Step 6: Final answer
    x = 4,332.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.