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Finding the Fourth Proportional to 3,861.83, 5,792.69 and 940.14

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Solution

The fourth proportional to 3,861.83, 5,792.69 and 940.14 is: 1,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.83 : 5,792.69 = 940.14 : x
  2. Step 2: Convert to fraction form
    3,861.83/5,792.69 = 940.14/x
  3. Step 3: Cross multiply
    3,861.83x = 5,792.69 × 940.14
  4. Step 4: Simplify right side
    3,861.83x = 5,445,939.58
  5. Step 5: Solve for x
    x = 5,445,939.58/3,861.83
  6. Step 6: Final answer
    x = 1,410.20

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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.