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Finding the Fourth Proportional to 3,478.74, 5,208.85 and 2,305.72

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Solution

The fourth proportional to 3,478.74, 5,208.85 and 2,305.72 is: 3,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.74 : 5,208.85 = 2,305.72 : x
  2. Step 2: Convert to fraction form
    3,478.74/5,208.85 = 2,305.72/x
  3. Step 3: Cross multiply
    3,478.74x = 5,208.85 × 2,305.72
  4. Step 4: Simplify right side
    3,478.74x = 12,010,149.62
  5. Step 5: Solve for x
    x = 12,010,149.62/3,478.74
  6. Step 6: Final answer
    x = 3,452.44

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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.