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Finding the Fourth Proportional to 4,212.84, 6,310.80 and 2,098.09

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Solution

The fourth proportional to 4,212.84, 6,310.80 and 2,098.09 is: 3,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.84 : 6,310.80 = 2,098.09 : x
  2. Step 2: Convert to fraction form
    4,212.84/6,310.80 = 2,098.09/x
  3. Step 3: Cross multiply
    4,212.84x = 6,310.80 × 2,098.09
  4. Step 4: Simplify right side
    4,212.84x = 13,240,621.13
  5. Step 5: Solve for x
    x = 13,240,621.13/4,212.84
  6. Step 6: Final answer
    x = 3,142.92

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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.