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Finding the Fourth Proportional to 6,101.73, 8,419.04 and 3,448.17

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Solution

The fourth proportional to 6,101.73, 8,419.04 and 3,448.17 is: 4,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.73 : 8,419.04 = 3,448.17 : x
  2. Step 2: Convert to fraction form
    6,101.73/8,419.04 = 3,448.17/x
  3. Step 3: Cross multiply
    6,101.73x = 8,419.04 × 3,448.17
  4. Step 4: Simplify right side
    6,101.73x = 29,030,276.85
  5. Step 5: Solve for x
    x = 29,030,276.85/6,101.73
  6. Step 6: Final answer
    x = 4,757.71

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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.