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Finding the Fourth Proportional to 4,205.87, 6,309.91 and 2,098.11

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Solution

The fourth proportional to 4,205.87, 6,309.91 and 2,098.11 is: 3,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.87 : 6,309.91 = 2,098.11 : x
  2. Step 2: Convert to fraction form
    4,205.87/6,309.91 = 2,098.11/x
  3. Step 3: Cross multiply
    4,205.87x = 6,309.91 × 2,098.11
  4. Step 4: Simplify right side
    4,205.87x = 13,238,885.27
  5. Step 5: Solve for x
    x = 13,238,885.27/4,205.87
  6. Step 6: Final answer
    x = 3,147.72

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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.