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Finding the Fourth Proportional to 3,378.38, 4,657.41 and 2,118.57

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Solution

The fourth proportional to 3,378.38, 4,657.41 and 2,118.57 is: 2,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.38 : 4,657.41 = 2,118.57 : x
  2. Step 2: Convert to fraction form
    3,378.38/4,657.41 = 2,118.57/x
  3. Step 3: Cross multiply
    3,378.38x = 4,657.41 × 2,118.57
  4. Step 4: Simplify right side
    3,378.38x = 9,867,049.10
  5. Step 5: Solve for x
    x = 9,867,049.10/3,378.38
  6. Step 6: Final answer
    x = 2,920.65

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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.