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Finding the Fourth Proportional to 3,856.17, 5,785.20 and 1,391.16

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Solution

The fourth proportional to 3,856.17, 5,785.20 and 1,391.16 is: 2,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.17 : 5,785.20 = 1,391.16 : x
  2. Step 2: Convert to fraction form
    3,856.17/5,785.20 = 1,391.16/x
  3. Step 3: Cross multiply
    3,856.17x = 5,785.20 × 1,391.16
  4. Step 4: Simplify right side
    3,856.17x = 8,048,138.83
  5. Step 5: Solve for x
    x = 8,048,138.83/3,856.17
  6. Step 6: Final answer
    x = 2,087.08

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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.