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Finding the Fourth Proportional to 3,231.71, 4,482.42 and 3,100.49

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Solution

The fourth proportional to 3,231.71, 4,482.42 and 3,100.49 is: 4,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.71 : 4,482.42 = 3,100.49 : x
  2. Step 2: Convert to fraction form
    3,231.71/4,482.42 = 3,100.49/x
  3. Step 3: Cross multiply
    3,231.71x = 4,482.42 × 3,100.49
  4. Step 4: Simplify right side
    3,231.71x = 13,897,694.93
  5. Step 5: Solve for x
    x = 13,897,694.93/3,231.71
  6. Step 6: Final answer
    x = 4,300.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.