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Finding the Fourth Proportional to 3,757.76, 5,185.66 and 2,079.03

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Solution

The fourth proportional to 3,757.76, 5,185.66 and 2,079.03 is: 2,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.76 : 5,185.66 = 2,079.03 : x
  2. Step 2: Convert to fraction form
    3,757.76/5,185.66 = 2,079.03/x
  3. Step 3: Cross multiply
    3,757.76x = 5,185.66 × 2,079.03
  4. Step 4: Simplify right side
    3,757.76x = 10,781,142.71
  5. Step 5: Solve for x
    x = 10,781,142.71/3,757.76
  6. Step 6: Final answer
    x = 2,869.03

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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.