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Finding the Fourth Proportional to 3,757.14, 5,182.12 and 3,258.92

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Solution

The fourth proportional to 3,757.14, 5,182.12 and 3,258.92 is: 4,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.14 : 5,182.12 = 3,258.92 : x
  2. Step 2: Convert to fraction form
    3,757.14/5,182.12 = 3,258.92/x
  3. Step 3: Cross multiply
    3,757.14x = 5,182.12 × 3,258.92
  4. Step 4: Simplify right side
    3,757.14x = 16,888,114.51
  5. Step 5: Solve for x
    x = 16,888,114.51/3,757.14
  6. Step 6: Final answer
    x = 4,494.94

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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.