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Finding the Fourth Proportional to 5,800.97, 8,001.38 and 3,704.15

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Solution

The fourth proportional to 5,800.97, 8,001.38 and 3,704.15 is: 5,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.97 : 8,001.38 = 3,704.15 : x
  2. Step 2: Convert to fraction form
    5,800.97/8,001.38 = 3,704.15/x
  3. Step 3: Cross multiply
    5,800.97x = 8,001.38 × 3,704.15
  4. Step 4: Simplify right side
    5,800.97x = 29,638,293.21
  5. Step 5: Solve for x
    x = 29,638,293.21/5,800.97
  6. Step 6: Final answer
    x = 5,109.20

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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.