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Finding the Fourth Proportional to 4,198.50, 5,794.14 and 2,335.50

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Solution

The fourth proportional to 4,198.50, 5,794.14 and 2,335.50 is: 3,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 5,794.14 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    4,198.50/5,794.14 = 2,335.50/x
  3. Step 3: Cross multiply
    4,198.50x = 5,794.14 × 2,335.50
  4. Step 4: Simplify right side
    4,198.50x = 13,532,213.97
  5. Step 5: Solve for x
    x = 13,532,213.97/4,198.50
  6. Step 6: Final answer
    x = 3,223.11

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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.