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Finding the Fourth Proportional to 3,971.79, 5,480.97 and 2,270.37

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Solution

The fourth proportional to 3,971.79, 5,480.97 and 2,270.37 is: 3,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.79 : 5,480.97 = 2,270.37 : x
  2. Step 2: Convert to fraction form
    3,971.79/5,480.97 = 2,270.37/x
  3. Step 3: Cross multiply
    3,971.79x = 5,480.97 × 2,270.37
  4. Step 4: Simplify right side
    3,971.79x = 12,443,829.86
  5. Step 5: Solve for x
    x = 12,443,829.86/3,971.79
  6. Step 6: Final answer
    x = 3,133.05

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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.