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Finding the Fourth Proportional to 3,593.50, 4,959.10 and 2,351.50

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Solution

The fourth proportional to 3,593.50, 4,959.10 and 2,351.50 is: 3,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.50 : 4,959.10 = 2,351.50 : x
  2. Step 2: Convert to fraction form
    3,593.50/4,959.10 = 2,351.50/x
  3. Step 3: Cross multiply
    3,593.50x = 4,959.10 × 2,351.50
  4. Step 4: Simplify right side
    3,593.50x = 11,661,323.65
  5. Step 5: Solve for x
    x = 11,661,323.65/3,593.50
  6. Step 6: Final answer
    x = 3,245.12

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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.