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Finding the Fourth Proportional to 5,964.84, 8,231.42 and 3,312.09

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Solution

The fourth proportional to 5,964.84, 8,231.42 and 3,312.09 is: 4,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.84 : 8,231.42 = 3,312.09 : x
  2. Step 2: Convert to fraction form
    5,964.84/8,231.42 = 3,312.09/x
  3. Step 3: Cross multiply
    5,964.84x = 8,231.42 × 3,312.09
  4. Step 4: Simplify right side
    5,964.84x = 27,263,212.15
  5. Step 5: Solve for x
    x = 27,263,212.15/5,964.84
  6. Step 6: Final answer
    x = 4,570.65

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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.