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Finding the Fourth Proportional to 3,960.70, 5,465.82 and 2,469.22

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Solution

The fourth proportional to 3,960.70, 5,465.82 and 2,469.22 is: 3,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.70 : 5,465.82 = 2,469.22 : x
  2. Step 2: Convert to fraction form
    3,960.70/5,465.82 = 2,469.22/x
  3. Step 3: Cross multiply
    3,960.70x = 5,465.82 × 2,469.22
  4. Step 4: Simplify right side
    3,960.70x = 13,496,312.06
  5. Step 5: Solve for x
    x = 13,496,312.06/3,960.70
  6. Step 6: Final answer
    x = 3,407.56

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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.