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Finding the Fourth Proportional to 4,824.97, 6,656.34 and 2,834.62

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Solution

The fourth proportional to 4,824.97, 6,656.34 and 2,834.62 is: 3,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.97 : 6,656.34 = 2,834.62 : x
  2. Step 2: Convert to fraction form
    4,824.97/6,656.34 = 2,834.62/x
  3. Step 3: Cross multiply
    4,824.97x = 6,656.34 × 2,834.62
  4. Step 4: Simplify right side
    4,824.97x = 18,868,204.05
  5. Step 5: Solve for x
    x = 18,868,204.05/4,824.97
  6. Step 6: Final answer
    x = 3,910.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.