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Finding the Fourth Proportional to 3,466.68, 5,189.77 and 2,230.44

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Solution

The fourth proportional to 3,466.68, 5,189.77 and 2,230.44 is: 3,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.68 : 5,189.77 = 2,230.44 : x
  2. Step 2: Convert to fraction form
    3,466.68/5,189.77 = 2,230.44/x
  3. Step 3: Cross multiply
    3,466.68x = 5,189.77 × 2,230.44
  4. Step 4: Simplify right side
    3,466.68x = 11,575,470.60
  5. Step 5: Solve for x
    x = 11,575,470.60/3,466.68
  6. Step 6: Final answer
    x = 3,339.07

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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.