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Finding the Fourth Proportional to 4,229.96, 5,837.56 and 2,462.00

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Solution

The fourth proportional to 4,229.96, 5,837.56 and 2,462.00 is: 3,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.96 : 5,837.56 = 2,462.00 : x
  2. Step 2: Convert to fraction form
    4,229.96/5,837.56 = 2,462.00/x
  3. Step 3: Cross multiply
    4,229.96x = 5,837.56 × 2,462.00
  4. Step 4: Simplify right side
    4,229.96x = 14,372,037.38
  5. Step 5: Solve for x
    x = 14,372,037.38/4,229.96
  6. Step 6: Final answer
    x = 3,397.68

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Why These Related Problems?

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