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Finding the Fourth Proportional to 3,157.97, 4,733.11 and 2,233.79

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Solution

The fourth proportional to 3,157.97, 4,733.11 and 2,233.79 is: 3,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.97 : 4,733.11 = 2,233.79 : x
  2. Step 2: Convert to fraction form
    3,157.97/4,733.11 = 2,233.79/x
  3. Step 3: Cross multiply
    3,157.97x = 4,733.11 × 2,233.79
  4. Step 4: Simplify right side
    3,157.97x = 10,572,773.79
  5. Step 5: Solve for x
    x = 10,572,773.79/3,157.97
  6. Step 6: Final answer
    x = 3,347.97

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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.