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Finding the Fourth Proportional to 3,960.96, 5,470.62 and 2,699.82

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Solution

The fourth proportional to 3,960.96, 5,470.62 and 2,699.82 is: 3,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.96 : 5,470.62 = 2,699.82 : x
  2. Step 2: Convert to fraction form
    3,960.96/5,470.62 = 2,699.82/x
  3. Step 3: Cross multiply
    3,960.96x = 5,470.62 × 2,699.82
  4. Step 4: Simplify right side
    3,960.96x = 14,769,689.29
  5. Step 5: Solve for x
    x = 14,769,689.29/3,960.96
  6. Step 6: Final answer
    x = 3,728.82

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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.