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Finding the Fourth Proportional to 5,771.56, 7,964.80 and 3,381

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Solution

The fourth proportional to 5,771.56, 7,964.80 and 3,381 is: 4,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.56 : 7,964.80 = 3,381 : x
  2. Step 2: Convert to fraction form
    5,771.56/7,964.80 = 3,381/x
  3. Step 3: Cross multiply
    5,771.56x = 7,964.80 × 3,381
  4. Step 4: Simplify right side
    5,771.56x = 26,928,988.80
  5. Step 5: Solve for x
    x = 26,928,988.80/5,771.56
  6. Step 6: Final answer
    x = 4,665.81

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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.