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Finding the Fourth Proportional to 5,964.86, 8,231.72 and 3,312.47

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Solution

The fourth proportional to 5,964.86, 8,231.72 and 3,312.47 is: 4,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.86 : 8,231.72 = 3,312.47 : x
  2. Step 2: Convert to fraction form
    5,964.86/8,231.72 = 3,312.47/x
  3. Step 3: Cross multiply
    5,964.86x = 8,231.72 × 3,312.47
  4. Step 4: Simplify right side
    5,964.86x = 27,267,267.83
  5. Step 5: Solve for x
    x = 27,267,267.83/5,964.86
  6. Step 6: Final answer
    x = 4,571.32

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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.