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Finding the Fourth Proportional to 3,812.96, 5,257.56 and 2,484.56

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Solution

The fourth proportional to 3,812.96, 5,257.56 and 2,484.56 is: 3,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.96 : 5,257.56 = 2,484.56 : x
  2. Step 2: Convert to fraction form
    3,812.96/5,257.56 = 2,484.56/x
  3. Step 3: Cross multiply
    3,812.96x = 5,257.56 × 2,484.56
  4. Step 4: Simplify right side
    3,812.96x = 13,062,723.27
  5. Step 5: Solve for x
    x = 13,062,723.27/3,812.96
  6. Step 6: Final answer
    x = 3,425.87

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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.