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Finding the Fourth Proportional to 3,489.30, 5,232.30 and 2,028.90

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Solution

The fourth proportional to 3,489.30, 5,232.30 and 2,028.90 is: 3,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.30 : 5,232.30 = 2,028.90 : x
  2. Step 2: Convert to fraction form
    3,489.30/5,232.30 = 2,028.90/x
  3. Step 3: Cross multiply
    3,489.30x = 5,232.30 × 2,028.90
  4. Step 4: Simplify right side
    3,489.30x = 10,615,813.47
  5. Step 5: Solve for x
    x = 10,615,813.47/3,489.30
  6. Step 6: Final answer
    x = 3,042.39

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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.