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Finding the Fourth Proportional to 5,648.91, 7,793.73 and 3,290.61

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Solution

The fourth proportional to 5,648.91, 7,793.73 and 3,290.61 is: 4,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.91 : 7,793.73 = 3,290.61 : x
  2. Step 2: Convert to fraction form
    5,648.91/7,793.73 = 3,290.61/x
  3. Step 3: Cross multiply
    5,648.91x = 7,793.73 × 3,290.61
  4. Step 4: Simplify right side
    5,648.91x = 25,646,125.88
  5. Step 5: Solve for x
    x = 25,646,125.88/5,648.91
  6. Step 6: Final answer
    x = 4,540.01

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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.