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Finding the Fourth Proportional to 3,473, 4,793.24 and 2,146.62

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Solution

The fourth proportional to 3,473, 4,793.24 and 2,146.62 is: 2,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 4,793.24 = 2,146.62 : x
  2. Step 2: Convert to fraction form
    3,473/4,793.24 = 2,146.62/x
  3. Step 3: Cross multiply
    3,473x = 4,793.24 × 2,146.62
  4. Step 4: Simplify right side
    3,473x = 10,289,264.85
  5. Step 5: Solve for x
    x = 10,289,264.85/3,473
  6. Step 6: Final answer
    x = 2,962.64

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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.