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Finding the Fourth Proportional to 3,861.72, 5,790.75 and 1,781.11

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Solution

The fourth proportional to 3,861.72, 5,790.75 and 1,781.11 is: 2,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.72 : 5,790.75 = 1,781.11 : x
  2. Step 2: Convert to fraction form
    3,861.72/5,790.75 = 1,781.11/x
  3. Step 3: Cross multiply
    3,861.72x = 5,790.75 × 1,781.11
  4. Step 4: Simplify right side
    3,861.72x = 10,313,948.26
  5. Step 5: Solve for x
    x = 10,313,948.26/3,861.72
  6. Step 6: Final answer
    x = 2,670.82

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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.