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Finding the Fourth Proportional to 3,734.48, 5,152.29 and 2,119.20

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Solution

The fourth proportional to 3,734.48, 5,152.29 and 2,119.20 is: 2,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.48 : 5,152.29 = 2,119.20 : x
  2. Step 2: Convert to fraction form
    3,734.48/5,152.29 = 2,119.20/x
  3. Step 3: Cross multiply
    3,734.48x = 5,152.29 × 2,119.20
  4. Step 4: Simplify right side
    3,734.48x = 10,918,732.97
  5. Step 5: Solve for x
    x = 10,918,732.97/3,734.48
  6. Step 6: Final answer
    x = 2,923.77

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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.