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Finding the Fourth Proportional to 3,233.59, 4,462.40 and 3,121.83

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Solution

The fourth proportional to 3,233.59, 4,462.40 and 3,121.83 is: 4,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.59 : 4,462.40 = 3,121.83 : x
  2. Step 2: Convert to fraction form
    3,233.59/4,462.40 = 3,121.83/x
  3. Step 3: Cross multiply
    3,233.59x = 4,462.40 × 3,121.83
  4. Step 4: Simplify right side
    3,233.59x = 13,930,849.74
  5. Step 5: Solve for x
    x = 13,930,849.74/3,233.59
  6. Step 6: Final answer
    x = 4,308.17

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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.