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Finding the Fourth Proportional to 3,441.44, 5,162.16 and 1,388

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Solution

The fourth proportional to 3,441.44, 5,162.16 and 1,388 is: 2,082

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.44 : 5,162.16 = 1,388 : x
  2. Step 2: Convert to fraction form
    3,441.44/5,162.16 = 1,388/x
  3. Step 3: Cross multiply
    3,441.44x = 5,162.16 × 1,388
  4. Step 4: Simplify right side
    3,441.44x = 7,165,078.08
  5. Step 5: Solve for x
    x = 7,165,078.08/3,441.44
  6. Step 6: Final answer
    x = 2,082

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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.