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Finding the Fourth Proportional to 3,678.96, 5,521.20 and 2,294.31

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Solution

The fourth proportional to 3,678.96, 5,521.20 and 2,294.31 is: 3,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.96 : 5,521.20 = 2,294.31 : x
  2. Step 2: Convert to fraction form
    3,678.96/5,521.20 = 2,294.31/x
  3. Step 3: Cross multiply
    3,678.96x = 5,521.20 × 2,294.31
  4. Step 4: Simplify right side
    3,678.96x = 12,667,344.37
  5. Step 5: Solve for x
    x = 12,667,344.37/3,678.96
  6. Step 6: Final answer
    x = 3,443.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.