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Finding the Fourth Proportional to 5,960.16, 8,929.34 and 2,791.78

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Solution

The fourth proportional to 5,960.16, 8,929.34 and 2,791.78 is: 4,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.16 : 8,929.34 = 2,791.78 : x
  2. Step 2: Convert to fraction form
    5,960.16/8,929.34 = 2,791.78/x
  3. Step 3: Cross multiply
    5,960.16x = 8,929.34 × 2,791.78
  4. Step 4: Simplify right side
    5,960.16x = 24,928,752.83
  5. Step 5: Solve for x
    x = 24,928,752.83/5,960.16
  6. Step 6: Final answer
    x = 4,182.56

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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.