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Finding the Fourth Proportional to 3,250, 4,847.54 and 2,959.12

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Solution

The fourth proportional to 3,250, 4,847.54 and 2,959.12 is: 4,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250 : 4,847.54 = 2,959.12 : x
  2. Step 2: Convert to fraction form
    3,250/4,847.54 = 2,959.12/x
  3. Step 3: Cross multiply
    3,250x = 4,847.54 × 2,959.12
  4. Step 4: Simplify right side
    3,250x = 14,344,452.56
  5. Step 5: Solve for x
    x = 14,344,452.56/3,250
  6. Step 6: Final answer
    x = 4,413.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.