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Finding the Fourth Proportional to 4,872.35, 7,310.66 and 2,098.31

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Solution

The fourth proportional to 4,872.35, 7,310.66 and 2,098.31 is: 3,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.35 : 7,310.66 = 2,098.31 : x
  2. Step 2: Convert to fraction form
    4,872.35/7,310.66 = 2,098.31/x
  3. Step 3: Cross multiply
    4,872.35x = 7,310.66 × 2,098.31
  4. Step 4: Simplify right side
    4,872.35x = 15,339,983.94
  5. Step 5: Solve for x
    x = 15,339,983.94/4,872.35
  6. Step 6: Final answer
    x = 3,148.37

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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.