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Finding the Fourth Proportional to 3,441.68, 5,163 and 1,132.88

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Solution

The fourth proportional to 3,441.68, 5,163 and 1,132.88 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.68 : 5,163 = 1,132.88 : x
  2. Step 2: Convert to fraction form
    3,441.68/5,163 = 1,132.88/x
  3. Step 3: Cross multiply
    3,441.68x = 5,163 × 1,132.88
  4. Step 4: Simplify right side
    3,441.68x = 5,849,059.44
  5. Step 5: Solve for x
    x = 5,849,059.44/3,441.68
  6. Step 6: Final answer
    x = 1,699.48

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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.