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Finding the Fourth Proportional to 3,844.27, 5,765.36 and 1,652.49

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Solution

The fourth proportional to 3,844.27, 5,765.36 and 1,652.49 is: 2,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.27 : 5,765.36 = 1,652.49 : x
  2. Step 2: Convert to fraction form
    3,844.27/5,765.36 = 1,652.49/x
  3. Step 3: Cross multiply
    3,844.27x = 5,765.36 × 1,652.49
  4. Step 4: Simplify right side
    3,844.27x = 9,527,199.75
  5. Step 5: Solve for x
    x = 9,527,199.75/3,844.27
  6. Step 6: Final answer
    x = 2,478.29

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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.