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Finding the Fourth Proportional to 3,964.69, 5,471.76 and 2,392.75

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Solution

The fourth proportional to 3,964.69, 5,471.76 and 2,392.75 is: 3,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.69 : 5,471.76 = 2,392.75 : x
  2. Step 2: Convert to fraction form
    3,964.69/5,471.76 = 2,392.75/x
  3. Step 3: Cross multiply
    3,964.69x = 5,471.76 × 2,392.75
  4. Step 4: Simplify right side
    3,964.69x = 13,092,553.74
  5. Step 5: Solve for x
    x = 13,092,553.74/3,964.69
  6. Step 6: Final answer
    x = 3,302.29

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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.