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Finding the Fourth Proportional to 5,974.38, 8,959.50 and 2,077.92

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Solution

The fourth proportional to 5,974.38, 8,959.50 and 2,077.92 is: 3,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.38 : 8,959.50 = 2,077.92 : x
  2. Step 2: Convert to fraction form
    5,974.38/8,959.50 = 2,077.92/x
  3. Step 3: Cross multiply
    5,974.38x = 8,959.50 × 2,077.92
  4. Step 4: Simplify right side
    5,974.38x = 18,617,124.24
  5. Step 5: Solve for x
    x = 18,617,124.24/5,974.38
  6. Step 6: Final answer
    x = 3,116.16

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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.