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Finding the Fourth Proportional to 3,233.48, 4,462.72 and 3,022.42

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Solution

The fourth proportional to 3,233.48, 4,462.72 and 3,022.42 is: 4,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.48 : 4,462.72 = 3,022.42 : x
  2. Step 2: Convert to fraction form
    3,233.48/4,462.72 = 3,022.42/x
  3. Step 3: Cross multiply
    3,233.48x = 4,462.72 × 3,022.42
  4. Step 4: Simplify right side
    3,233.48x = 13,488,199.07
  5. Step 5: Solve for x
    x = 13,488,199.07/3,233.48
  6. Step 6: Final answer
    x = 4,171.43

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