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Finding the Fourth Proportional to 4,822.80, 7,229.16 and 2,354.22

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Solution

The fourth proportional to 4,822.80, 7,229.16 and 2,354.22 is: 3,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.80 : 7,229.16 = 2,354.22 : x
  2. Step 2: Convert to fraction form
    4,822.80/7,229.16 = 2,354.22/x
  3. Step 3: Cross multiply
    4,822.80x = 7,229.16 × 2,354.22
  4. Step 4: Simplify right side
    4,822.80x = 17,019,033.06
  5. Step 5: Solve for x
    x = 17,019,033.06/4,822.80
  6. Step 6: Final answer
    x = 3,528.87

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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.