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Finding the Fourth Proportional to 5,171.40, 7,750.98 and 1,882.74

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Solution

The fourth proportional to 5,171.40, 7,750.98 and 1,882.74 is: 2,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.40 : 7,750.98 = 1,882.74 : x
  2. Step 2: Convert to fraction form
    5,171.40/7,750.98 = 1,882.74/x
  3. Step 3: Cross multiply
    5,171.40x = 7,750.98 × 1,882.74
  4. Step 4: Simplify right side
    5,171.40x = 14,593,080.09
  5. Step 5: Solve for x
    x = 14,593,080.09/5,171.40
  6. Step 6: Final answer
    x = 2,821.88

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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.