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Finding the Fourth Proportional to 5,274.74, 7,909.68 and 3,084.14

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Solution

The fourth proportional to 5,274.74, 7,909.68 and 3,084.14 is: 4,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.74 : 7,909.68 = 3,084.14 : x
  2. Step 2: Convert to fraction form
    5,274.74/7,909.68 = 3,084.14/x
  3. Step 3: Cross multiply
    5,274.74x = 7,909.68 × 3,084.14
  4. Step 4: Simplify right side
    5,274.74x = 24,394,560.48
  5. Step 5: Solve for x
    x = 24,394,560.48/5,274.74
  6. Step 6: Final answer
    x = 4,624.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.