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Finding the Fourth Proportional to 5,119.86, 7,667.48 and 3,471.41

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Solution

The fourth proportional to 5,119.86, 7,667.48 and 3,471.41 is: 5,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.86 : 7,667.48 = 3,471.41 : x
  2. Step 2: Convert to fraction form
    5,119.86/7,667.48 = 3,471.41/x
  3. Step 3: Cross multiply
    5,119.86x = 7,667.48 × 3,471.41
  4. Step 4: Simplify right side
    5,119.86x = 26,616,968.56
  5. Step 5: Solve for x
    x = 26,616,968.56/5,119.86
  6. Step 6: Final answer
    x = 5,198.77

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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.