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Finding the Fourth Proportional to 6,100.96, 8,419.29 and 3,306.46

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Solution

The fourth proportional to 6,100.96, 8,419.29 and 3,306.46 is: 4,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.96 : 8,419.29 = 3,306.46 : x
  2. Step 2: Convert to fraction form
    6,100.96/8,419.29 = 3,306.46/x
  3. Step 3: Cross multiply
    6,100.96x = 8,419.29 × 3,306.46
  4. Step 4: Simplify right side
    6,100.96x = 27,838,045.61
  5. Step 5: Solve for x
    x = 27,838,045.61/6,100.96
  6. Step 6: Final answer
    x = 4,562.90

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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.