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Finding the Fourth Proportional to 3,856.32, 5,780.16 and 1,906.56

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Solution

The fourth proportional to 3,856.32, 5,780.16 and 1,906.56 is: 2,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.32 : 5,780.16 = 1,906.56 : x
  2. Step 2: Convert to fraction form
    3,856.32/5,780.16 = 1,906.56/x
  3. Step 3: Cross multiply
    3,856.32x = 5,780.16 × 1,906.56
  4. Step 4: Simplify right side
    3,856.32x = 11,020,221.85
  5. Step 5: Solve for x
    x = 11,020,221.85/3,856.32
  6. Step 6: Final answer
    x = 2,857.70

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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.