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Finding the Fourth Proportional to 3,863.27, 5,790.42 and 1,778.90

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Solution

The fourth proportional to 3,863.27, 5,790.42 and 1,778.90 is: 2,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.27 : 5,790.42 = 1,778.90 : x
  2. Step 2: Convert to fraction form
    3,863.27/5,790.42 = 1,778.90/x
  3. Step 3: Cross multiply
    3,863.27x = 5,790.42 × 1,778.90
  4. Step 4: Simplify right side
    3,863.27x = 10,300,549.19
  5. Step 5: Solve for x
    x = 10,300,549.19/3,863.27
  6. Step 6: Final answer
    x = 2,666.28

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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.