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Finding the Fourth Proportional to 3,793.10, 5,680.90 and 3,661.76

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Solution

The fourth proportional to 3,793.10, 5,680.90 and 3,661.76 is: 5,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.10 : 5,680.90 = 3,661.76 : x
  2. Step 2: Convert to fraction form
    3,793.10/5,680.90 = 3,661.76/x
  3. Step 3: Cross multiply
    3,793.10x = 5,680.90 × 3,661.76
  4. Step 4: Simplify right side
    3,793.10x = 20,802,079.21
  5. Step 5: Solve for x
    x = 20,802,079.21/3,793.10
  6. Step 6: Final answer
    x = 5,484.20

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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.