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Finding the Fourth Proportional to 5,856.80, 8,086.28 and 3,467.54

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Solution

The fourth proportional to 5,856.80, 8,086.28 and 3,467.54 is: 4,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.80 : 8,086.28 = 3,467.54 : x
  2. Step 2: Convert to fraction form
    5,856.80/8,086.28 = 3,467.54/x
  3. Step 3: Cross multiply
    5,856.80x = 8,086.28 × 3,467.54
  4. Step 4: Simplify right side
    5,856.80x = 28,039,499.35
  5. Step 5: Solve for x
    x = 28,039,499.35/5,856.80
  6. Step 6: Final answer
    x = 4,787.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.