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Finding the Fourth Proportional to 5,906.72, 8,855.12 and 2,446.40

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Solution

The fourth proportional to 5,906.72, 8,855.12 and 2,446.40 is: 3,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.72 : 8,855.12 = 2,446.40 : x
  2. Step 2: Convert to fraction form
    5,906.72/8,855.12 = 2,446.40/x
  3. Step 3: Cross multiply
    5,906.72x = 8,855.12 × 2,446.40
  4. Step 4: Simplify right side
    5,906.72x = 21,663,165.57
  5. Step 5: Solve for x
    x = 21,663,165.57/5,906.72
  6. Step 6: Final answer
    x = 3,667.55

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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.