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Finding the Fourth Proportional to 5,876.52, 8,109.66 and 3,639.48

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Solution

The fourth proportional to 5,876.52, 8,109.66 and 3,639.48 is: 5,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.52 : 8,109.66 = 3,639.48 : x
  2. Step 2: Convert to fraction form
    5,876.52/8,109.66 = 3,639.48/x
  3. Step 3: Cross multiply
    5,876.52x = 8,109.66 × 3,639.48
  4. Step 4: Simplify right side
    5,876.52x = 29,514,945.38
  5. Step 5: Solve for x
    x = 29,514,945.38/5,876.52
  6. Step 6: Final answer
    x = 5,022.52

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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.