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Finding the Fourth Proportional to 5,876.90, 8,105.54 and 3,640.02

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Solution

The fourth proportional to 5,876.90, 8,105.54 and 3,640.02 is: 5,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.90 : 8,105.54 = 3,640.02 : x
  2. Step 2: Convert to fraction form
    5,876.90/8,105.54 = 3,640.02/x
  3. Step 3: Cross multiply
    5,876.90x = 8,105.54 × 3,640.02
  4. Step 4: Simplify right side
    5,876.90x = 29,504,327.71
  5. Step 5: Solve for x
    x = 29,504,327.71/5,876.90
  6. Step 6: Final answer
    x = 5,020.39

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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.