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Finding the Fourth Proportional to 4,380.91, 6,045.65 and 2,809

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Solution

The fourth proportional to 4,380.91, 6,045.65 and 2,809 is: 3,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.91 : 6,045.65 = 2,809 : x
  2. Step 2: Convert to fraction form
    4,380.91/6,045.65 = 2,809/x
  3. Step 3: Cross multiply
    4,380.91x = 6,045.65 × 2,809
  4. Step 4: Simplify right side
    4,380.91x = 16,982,230.85
  5. Step 5: Solve for x
    x = 16,982,230.85/4,380.91
  6. Step 6: Final answer
    x = 3,876.42

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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.