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Finding the Fourth Proportional to 4,822.82, 7,222.88 and 2,349.89

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Solution

The fourth proportional to 4,822.82, 7,222.88 and 2,349.89 is: 3,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.82 : 7,222.88 = 2,349.89 : x
  2. Step 2: Convert to fraction form
    4,822.82/7,222.88 = 2,349.89/x
  3. Step 3: Cross multiply
    4,822.82x = 7,222.88 × 2,349.89
  4. Step 4: Simplify right side
    4,822.82x = 16,972,943.24
  5. Step 5: Solve for x
    x = 16,972,943.24/4,822.82
  6. Step 6: Final answer
    x = 3,519.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.