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Finding the Fourth Proportional to 5,974.32, 8,963.28 and 2,414.61

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Solution

The fourth proportional to 5,974.32, 8,963.28 and 2,414.61 is: 3,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.32 : 8,963.28 = 2,414.61 : x
  2. Step 2: Convert to fraction form
    5,974.32/8,963.28 = 2,414.61/x
  3. Step 3: Cross multiply
    5,974.32x = 8,963.28 × 2,414.61
  4. Step 4: Simplify right side
    5,974.32x = 21,642,825.52
  5. Step 5: Solve for x
    x = 21,642,825.52/5,974.32
  6. Step 6: Final answer
    x = 3,622.64

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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.