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Finding the Fourth Proportional to 5,964.66, 8,231.12 and 3,312

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Solution

The fourth proportional to 5,964.66, 8,231.12 and 3,312 is: 4,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.66 : 8,231.12 = 3,312 : x
  2. Step 2: Convert to fraction form
    5,964.66/8,231.12 = 3,312/x
  3. Step 3: Cross multiply
    5,964.66x = 8,231.12 × 3,312
  4. Step 4: Simplify right side
    5,964.66x = 27,261,469.44
  5. Step 5: Solve for x
    x = 27,261,469.44/5,964.66
  6. Step 6: Final answer
    x = 4,570.50

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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.