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Finding the Fourth Proportional to 3,446.38, 4,756 and 2,049.13

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Solution

The fourth proportional to 3,446.38, 4,756 and 2,049.13 is: 2,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.38 : 4,756 = 2,049.13 : x
  2. Step 2: Convert to fraction form
    3,446.38/4,756 = 2,049.13/x
  3. Step 3: Cross multiply
    3,446.38x = 4,756 × 2,049.13
  4. Step 4: Simplify right side
    3,446.38x = 9,745,638.50
  5. Step 5: Solve for x
    x = 9,745,638.50/3,446.38
  6. Step 6: Final answer
    x = 2,827.79

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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.