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Finding the Fourth Proportional to 3,473, 5,207.88 and 1,162.88

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Solution

The fourth proportional to 3,473, 5,207.88 and 1,162.88 is: 1,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 5,207.88 = 1,162.88 : x
  2. Step 2: Convert to fraction form
    3,473/5,207.88 = 1,162.88/x
  3. Step 3: Cross multiply
    3,473x = 5,207.88 × 1,162.88
  4. Step 4: Simplify right side
    3,473x = 6,056,139.49
  5. Step 5: Solve for x
    x = 6,056,139.49/3,473
  6. Step 6: Final answer
    x = 1,743.78

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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.