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Finding the Fourth Proportional to 3,967.34, 5,469.75 and 2,472.66

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Solution

The fourth proportional to 3,967.34, 5,469.75 and 2,472.66 is: 3,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.34 : 5,469.75 = 2,472.66 : x
  2. Step 2: Convert to fraction form
    3,967.34/5,469.75 = 2,472.66/x
  3. Step 3: Cross multiply
    3,967.34x = 5,469.75 × 2,472.66
  4. Step 4: Simplify right side
    3,967.34x = 13,524,832.04
  5. Step 5: Solve for x
    x = 13,524,832.04/3,967.34
  6. Step 6: Final answer
    x = 3,409.05

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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.