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Finding the Fourth Proportional to 4,209.87, 6,311.35 and 3,167.84

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Solution

The fourth proportional to 4,209.87, 6,311.35 and 3,167.84 is: 4,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.87 : 6,311.35 = 3,167.84 : x
  2. Step 2: Convert to fraction form
    4,209.87/6,311.35 = 3,167.84/x
  3. Step 3: Cross multiply
    4,209.87x = 6,311.35 × 3,167.84
  4. Step 4: Simplify right side
    4,209.87x = 19,993,366.72
  5. Step 5: Solve for x
    x = 19,993,366.72/4,209.87
  6. Step 6: Final answer
    x = 4,749.16

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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.