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Finding the Fourth Proportional to 4,822.24, 7,235.13 and 3,446.41

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Solution

The fourth proportional to 4,822.24, 7,235.13 and 3,446.41 is: 5,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.24 : 7,235.13 = 3,446.41 : x
  2. Step 2: Convert to fraction form
    4,822.24/7,235.13 = 3,446.41/x
  3. Step 3: Cross multiply
    4,822.24x = 7,235.13 × 3,446.41
  4. Step 4: Simplify right side
    4,822.24x = 24,935,224.38
  5. Step 5: Solve for x
    x = 24,935,224.38/4,822.24
  6. Step 6: Final answer
    x = 5,170.88

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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.