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Finding the Fourth Proportional to 4,872.86, 7,308.49 and 2,098.79

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Solution

The fourth proportional to 4,872.86, 7,308.49 and 2,098.79 is: 3,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.86 : 7,308.49 = 2,098.79 : x
  2. Step 2: Convert to fraction form
    4,872.86/7,308.49 = 2,098.79/x
  3. Step 3: Cross multiply
    4,872.86x = 7,308.49 × 2,098.79
  4. Step 4: Simplify right side
    4,872.86x = 15,338,985.73
  5. Step 5: Solve for x
    x = 15,338,985.73/4,872.86
  6. Step 6: Final answer
    x = 3,147.84

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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.