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Finding the Fourth Proportional to 3,446.38, 4,754.33 and 2,117.78

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Solution

The fourth proportional to 3,446.38, 4,754.33 and 2,117.78 is: 2,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.38 : 4,754.33 = 2,117.78 : x
  2. Step 2: Convert to fraction form
    3,446.38/4,754.33 = 2,117.78/x
  3. Step 3: Cross multiply
    3,446.38x = 4,754.33 × 2,117.78
  4. Step 4: Simplify right side
    3,446.38x = 10,068,601.22
  5. Step 5: Solve for x
    x = 10,068,601.22/3,446.38
  6. Step 6: Final answer
    x = 2,921.50

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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.