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Finding the Fourth Proportional to 4,098.88, 6,148.32 and 2,711.95

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Solution

The fourth proportional to 4,098.88, 6,148.32 and 2,711.95 is: 4,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.88 : 6,148.32 = 2,711.95 : x
  2. Step 2: Convert to fraction form
    4,098.88/6,148.32 = 2,711.95/x
  3. Step 3: Cross multiply
    4,098.88x = 6,148.32 × 2,711.95
  4. Step 4: Simplify right side
    4,098.88x = 16,673,936.42
  5. Step 5: Solve for x
    x = 16,673,936.42/4,098.88
  6. Step 6: Final answer
    x = 4,067.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.