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Finding the Fourth Proportional to 3,652.12, 5,042.28 and 3,258.46

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Solution

The fourth proportional to 3,652.12, 5,042.28 and 3,258.46 is: 4,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.12 : 5,042.28 = 3,258.46 : x
  2. Step 2: Convert to fraction form
    3,652.12/5,042.28 = 3,258.46/x
  3. Step 3: Cross multiply
    3,652.12x = 5,042.28 × 3,258.46
  4. Step 4: Simplify right side
    3,652.12x = 16,430,067.69
  5. Step 5: Solve for x
    x = 16,430,067.69/3,652.12
  6. Step 6: Final answer
    x = 4,498.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.