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Finding the Fourth Proportional to 3,856.99, 5,325.66 and 2,959.31

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Solution

The fourth proportional to 3,856.99, 5,325.66 and 2,959.31 is: 4,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.99 : 5,325.66 = 2,959.31 : x
  2. Step 2: Convert to fraction form
    3,856.99/5,325.66 = 2,959.31/x
  3. Step 3: Cross multiply
    3,856.99x = 5,325.66 × 2,959.31
  4. Step 4: Simplify right side
    3,856.99x = 15,760,246.44
  5. Step 5: Solve for x
    x = 15,760,246.44/3,856.99
  6. Step 6: Final answer
    x = 4,086.15

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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.