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Finding the Fourth Proportional to 3,348.14, 5,019.75 and 2,032.20

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Solution

The fourth proportional to 3,348.14, 5,019.75 and 2,032.20 is: 3,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.14 : 5,019.75 = 2,032.20 : x
  2. Step 2: Convert to fraction form
    3,348.14/5,019.75 = 2,032.20/x
  3. Step 3: Cross multiply
    3,348.14x = 5,019.75 × 2,032.20
  4. Step 4: Simplify right side
    3,348.14x = 10,201,135.95
  5. Step 5: Solve for x
    x = 10,201,135.95/3,348.14
  6. Step 6: Final answer
    x = 3,046.81

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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.