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Finding the Fourth Proportional to 3,971.96, 5,478.81 and 2,557.49

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Solution

The fourth proportional to 3,971.96, 5,478.81 and 2,557.49 is: 3,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.96 : 5,478.81 = 2,557.49 : x
  2. Step 2: Convert to fraction form
    3,971.96/5,478.81 = 2,557.49/x
  3. Step 3: Cross multiply
    3,971.96x = 5,478.81 × 2,557.49
  4. Step 4: Simplify right side
    3,971.96x = 14,011,974.39
  5. Step 5: Solve for x
    x = 14,011,974.39/3,971.96
  6. Step 6: Final answer
    x = 3,527.73

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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.