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Finding the Fourth Proportional to 3,388.83, 4,675.17 and 2,209.86

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Solution

The fourth proportional to 3,388.83, 4,675.17 and 2,209.86 is: 3,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.83 : 4,675.17 = 2,209.86 : x
  2. Step 2: Convert to fraction form
    3,388.83/4,675.17 = 2,209.86/x
  3. Step 3: Cross multiply
    3,388.83x = 4,675.17 × 2,209.86
  4. Step 4: Simplify right side
    3,388.83x = 10,331,471.18
  5. Step 5: Solve for x
    x = 10,331,471.18/3,388.83
  6. Step 6: Final answer
    x = 3,048.68

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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.