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Finding the Fourth Proportional to 4,435.84, 6,121.20 and 2,446.38

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Solution

The fourth proportional to 4,435.84, 6,121.20 and 2,446.38 is: 3,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.84 : 6,121.20 = 2,446.38 : x
  2. Step 2: Convert to fraction form
    4,435.84/6,121.20 = 2,446.38/x
  3. Step 3: Cross multiply
    4,435.84x = 6,121.20 × 2,446.38
  4. Step 4: Simplify right side
    4,435.84x = 14,974,781.26
  5. Step 5: Solve for x
    x = 14,974,781.26/4,435.84
  6. Step 6: Final answer
    x = 3,375.86

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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.