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Finding the Fourth Proportional to 3,652.90, 5,480.87 and 2,009.31

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Solution

The fourth proportional to 3,652.90, 5,480.87 and 2,009.31 is: 3,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.90 : 5,480.87 = 2,009.31 : x
  2. Step 2: Convert to fraction form
    3,652.90/5,480.87 = 2,009.31/x
  3. Step 3: Cross multiply
    3,652.90x = 5,480.87 × 2,009.31
  4. Step 4: Simplify right side
    3,652.90x = 11,012,736.30
  5. Step 5: Solve for x
    x = 11,012,736.30/3,652.90
  6. Step 6: Final answer
    x = 3,014.79

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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.