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Finding the Fourth Proportional to 3,946.88, 5,446.68 and 2,178.44

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Solution

The fourth proportional to 3,946.88, 5,446.68 and 2,178.44 is: 3,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.88 : 5,446.68 = 2,178.44 : x
  2. Step 2: Convert to fraction form
    3,946.88/5,446.68 = 2,178.44/x
  3. Step 3: Cross multiply
    3,946.88x = 5,446.68 × 2,178.44
  4. Step 4: Simplify right side
    3,946.88x = 11,865,265.58
  5. Step 5: Solve for x
    x = 11,865,265.58/3,946.88
  6. Step 6: Final answer
    x = 3,006.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.