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Finding the Fourth Proportional to 5,648.96, 7,793.98 and 3,290.65

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Solution

The fourth proportional to 5,648.96, 7,793.98 and 3,290.65 is: 4,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.96 : 7,793.98 = 3,290.65 : x
  2. Step 2: Convert to fraction form
    5,648.96/7,793.98 = 3,290.65/x
  3. Step 3: Cross multiply
    5,648.96x = 7,793.98 × 3,290.65
  4. Step 4: Simplify right side
    5,648.96x = 25,647,232.58
  5. Step 5: Solve for x
    x = 25,647,232.58/5,648.96
  6. Step 6: Final answer
    x = 4,540.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.