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Finding the Fourth Proportional to 6,159.38, 8,498.69 and 3,640.24

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Solution

The fourth proportional to 6,159.38, 8,498.69 and 3,640.24 is: 5,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.38 : 8,498.69 = 3,640.24 : x
  2. Step 2: Convert to fraction form
    6,159.38/8,498.69 = 3,640.24/x
  3. Step 3: Cross multiply
    6,159.38x = 8,498.69 × 3,640.24
  4. Step 4: Simplify right side
    6,159.38x = 30,937,228.79
  5. Step 5: Solve for x
    x = 30,937,228.79/6,159.38
  6. Step 6: Final answer
    x = 5,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.