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Finding the Fourth Proportional to 5,198.95, 7,179.65 and 3,314.08

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Solution

The fourth proportional to 5,198.95, 7,179.65 and 3,314.08 is: 4,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.95 : 7,179.65 = 3,314.08 : x
  2. Step 2: Convert to fraction form
    5,198.95/7,179.65 = 3,314.08/x
  3. Step 3: Cross multiply
    5,198.95x = 7,179.65 × 3,314.08
  4. Step 4: Simplify right side
    5,198.95x = 23,793,934.47
  5. Step 5: Solve for x
    x = 23,793,934.47/5,198.95
  6. Step 6: Final answer
    x = 4,576.68

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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.