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Finding the Fourth Proportional to 5,876.28, 8,098.86 and 4,632.12

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Solution

The fourth proportional to 5,876.28, 8,098.86 and 4,632.12 is: 6,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.28 : 8,098.86 = 4,632.12 : x
  2. Step 2: Convert to fraction form
    5,876.28/8,098.86 = 4,632.12/x
  3. Step 3: Cross multiply
    5,876.28x = 8,098.86 × 4,632.12
  4. Step 4: Simplify right side
    5,876.28x = 37,514,891.38
  5. Step 5: Solve for x
    x = 37,514,891.38/5,876.28
  6. Step 6: Final answer
    x = 6,384.12

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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.