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Finding the Fourth Proportional to 5,964.14, 8,233.18 and 5,218.94

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Solution

The fourth proportional to 5,964.14, 8,233.18 and 5,218.94 is: 7,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.14 : 8,233.18 = 5,218.94 : x
  2. Step 2: Convert to fraction form
    5,964.14/8,233.18 = 5,218.94/x
  3. Step 3: Cross multiply
    5,964.14x = 8,233.18 × 5,218.94
  4. Step 4: Simplify right side
    5,964.14x = 42,968,472.43
  5. Step 5: Solve for x
    x = 42,968,472.43/5,964.14
  6. Step 6: Final answer
    x = 7,204.47

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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.