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Finding the Fourth Proportional to 4,454.44, 6,677.52 and 2,806

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Solution

The fourth proportional to 4,454.44, 6,677.52 and 2,806 is: 4,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.44 : 6,677.52 = 2,806 : x
  2. Step 2: Convert to fraction form
    4,454.44/6,677.52 = 2,806/x
  3. Step 3: Cross multiply
    4,454.44x = 6,677.52 × 2,806
  4. Step 4: Simplify right side
    4,454.44x = 18,737,121.12
  5. Step 5: Solve for x
    x = 18,737,121.12/4,454.44
  6. Step 6: Final answer
    x = 4,206.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.