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Finding the Fourth Proportional to 5,757.76, 8,629.92 and 2,634.16

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Solution

The fourth proportional to 5,757.76, 8,629.92 and 2,634.16 is: 3,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.76 : 8,629.92 = 2,634.16 : x
  2. Step 2: Convert to fraction form
    5,757.76/8,629.92 = 2,634.16/x
  3. Step 3: Cross multiply
    5,757.76x = 8,629.92 × 2,634.16
  4. Step 4: Simplify right side
    5,757.76x = 22,732,590.07
  5. Step 5: Solve for x
    x = 22,732,590.07/5,757.76
  6. Step 6: Final answer
    x = 3,948.17

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Why These Related Problems?

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