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Finding the Fourth Proportional to 3,919.51, 5,402.19 and 3,734.97

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Solution

The fourth proportional to 3,919.51, 5,402.19 and 3,734.97 is: 5,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.51 : 5,402.19 = 3,734.97 : x
  2. Step 2: Convert to fraction form
    3,919.51/5,402.19 = 3,734.97/x
  3. Step 3: Cross multiply
    3,919.51x = 5,402.19 × 3,734.97
  4. Step 4: Simplify right side
    3,919.51x = 20,176,990.57
  5. Step 5: Solve for x
    x = 20,176,990.57/3,919.51
  6. Step 6: Final answer
    x = 5,147.83

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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.