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Finding the Fourth Proportional to 5,179.05, 7,770.17 and 3,101.40

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Solution

The fourth proportional to 5,179.05, 7,770.17 and 3,101.40 is: 4,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.05 : 7,770.17 = 3,101.40 : x
  2. Step 2: Convert to fraction form
    5,179.05/7,770.17 = 3,101.40/x
  3. Step 3: Cross multiply
    5,179.05x = 7,770.17 × 3,101.40
  4. Step 4: Simplify right side
    5,179.05x = 24,098,389.73
  5. Step 5: Solve for x
    x = 24,098,389.73/5,179.05
  6. Step 6: Final answer
    x = 4,653.05

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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.