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Finding the Fourth Proportional to 3,793.80, 5,680.76 and 3,049.45

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Solution

The fourth proportional to 3,793.80, 5,680.76 and 3,049.45 is: 4,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.80 : 5,680.76 = 3,049.45 : x
  2. Step 2: Convert to fraction form
    3,793.80/5,680.76 = 3,049.45/x
  3. Step 3: Cross multiply
    3,793.80x = 5,680.76 × 3,049.45
  4. Step 4: Simplify right side
    3,793.80x = 17,323,164.13
  5. Step 5: Solve for x
    x = 17,323,164.13/3,793.80
  6. Step 6: Final answer
    x = 4,566.17

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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.