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Finding the Fourth Proportional to 6,001.97, 8,282.32 and 3,763.75

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Solution

The fourth proportional to 6,001.97, 8,282.32 and 3,763.75 is: 5,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.97 : 8,282.32 = 3,763.75 : x
  2. Step 2: Convert to fraction form
    6,001.97/8,282.32 = 3,763.75/x
  3. Step 3: Cross multiply
    6,001.97x = 8,282.32 × 3,763.75
  4. Step 4: Simplify right side
    6,001.97x = 31,172,581.90
  5. Step 5: Solve for x
    x = 31,172,581.90/6,001.97
  6. Step 6: Final answer
    x = 5,193.73

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