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Finding the Fourth Proportional to 3,772.32, 5,649.90 and 2,014.20

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Solution

The fourth proportional to 3,772.32, 5,649.90 and 2,014.20 is: 3,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.32 : 5,649.90 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    3,772.32/5,649.90 = 2,014.20/x
  3. Step 3: Cross multiply
    3,772.32x = 5,649.90 × 2,014.20
  4. Step 4: Simplify right side
    3,772.32x = 11,380,028.58
  5. Step 5: Solve for x
    x = 11,380,028.58/3,772.32
  6. Step 6: Final answer
    x = 3,016.72

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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.