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Finding the Fourth Proportional to 3,196.28, 4,413 and 2,859.12

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Solution

The fourth proportional to 3,196.28, 4,413 and 2,859.12 is: 3,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.28 : 4,413 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    3,196.28/4,413 = 2,859.12/x
  3. Step 3: Cross multiply
    3,196.28x = 4,413 × 2,859.12
  4. Step 4: Simplify right side
    3,196.28x = 12,617,296.56
  5. Step 5: Solve for x
    x = 12,617,296.56/3,196.28
  6. Step 6: Final answer
    x = 3,947.50

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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.