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Finding the Fourth Proportional to 3,441.38, 5,162.54 and 1,593

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Solution

The fourth proportional to 3,441.38, 5,162.54 and 1,593 is: 2,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.38 : 5,162.54 = 1,593 : x
  2. Step 2: Convert to fraction form
    3,441.38/5,162.54 = 1,593/x
  3. Step 3: Cross multiply
    3,441.38x = 5,162.54 × 1,593
  4. Step 4: Simplify right side
    3,441.38x = 8,223,918.26
  5. Step 5: Solve for x
    x = 8,223,918.26/3,441.38
  6. Step 6: Final answer
    x = 2,389.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.