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Finding the Fourth Proportional to 3,649.33, 5,475.78 and 2,262.30

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Solution

The fourth proportional to 3,649.33, 5,475.78 and 2,262.30 is: 3,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.33 : 5,475.78 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    3,649.33/5,475.78 = 2,262.30/x
  3. Step 3: Cross multiply
    3,649.33x = 5,475.78 × 2,262.30
  4. Step 4: Simplify right side
    3,649.33x = 12,387,836.56
  5. Step 5: Solve for x
    x = 12,387,836.56/3,649.33
  6. Step 6: Final answer
    x = 3,394.55

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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.