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Finding the Fourth Proportional to 5,177.40, 7,145 and 2,819.71

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Solution

The fourth proportional to 5,177.40, 7,145 and 2,819.71 is: 3,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.40 : 7,145 = 2,819.71 : x
  2. Step 2: Convert to fraction form
    5,177.40/7,145 = 2,819.71/x
  3. Step 3: Cross multiply
    5,177.40x = 7,145 × 2,819.71
  4. Step 4: Simplify right side
    5,177.40x = 20,146,827.95
  5. Step 5: Solve for x
    x = 20,146,827.95/5,177.40
  6. Step 6: Final answer
    x = 3,891.30

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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.