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Finding the Fourth Proportional to 3,198.76, 4,397.15 and 2,859.10

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Solution

The fourth proportional to 3,198.76, 4,397.15 and 2,859.10 is: 3,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.76 : 4,397.15 = 2,859.10 : x
  2. Step 2: Convert to fraction form
    3,198.76/4,397.15 = 2,859.10/x
  3. Step 3: Cross multiply
    3,198.76x = 4,397.15 × 2,859.10
  4. Step 4: Simplify right side
    3,198.76x = 12,571,887.72
  5. Step 5: Solve for x
    x = 12,571,887.72/3,198.76
  6. Step 6: Final answer
    x = 3,930.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.