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Finding the Fourth Proportional to 4,636.26, 6,949.53 and 2,169

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Solution

The fourth proportional to 4,636.26, 6,949.53 and 2,169 is: 3,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.26 : 6,949.53 = 2,169 : x
  2. Step 2: Convert to fraction form
    4,636.26/6,949.53 = 2,169/x
  3. Step 3: Cross multiply
    4,636.26x = 6,949.53 × 2,169
  4. Step 4: Simplify right side
    4,636.26x = 15,073,530.57
  5. Step 5: Solve for x
    x = 15,073,530.57/4,636.26
  6. Step 6: Final answer
    x = 3,251.23

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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.