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Finding the Fourth Proportional to 4,209.48, 6,306.66 and 2,745

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Solution

The fourth proportional to 4,209.48, 6,306.66 and 2,745 is: 4,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.48 : 6,306.66 = 2,745 : x
  2. Step 2: Convert to fraction form
    4,209.48/6,306.66 = 2,745/x
  3. Step 3: Cross multiply
    4,209.48x = 6,306.66 × 2,745
  4. Step 4: Simplify right side
    4,209.48x = 17,311,781.70
  5. Step 5: Solve for x
    x = 17,311,781.70/4,209.48
  6. Step 6: Final answer
    x = 4,112.57

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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.