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Finding the Fourth Proportional to 5,964.09, 8,228.76 and 3,728.23

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Solution

The fourth proportional to 5,964.09, 8,228.76 and 3,728.23 is: 5,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.09 : 8,228.76 = 3,728.23 : x
  2. Step 2: Convert to fraction form
    5,964.09/8,228.76 = 3,728.23/x
  3. Step 3: Cross multiply
    5,964.09x = 8,228.76 × 3,728.23
  4. Step 4: Simplify right side
    5,964.09x = 30,678,709.89
  5. Step 5: Solve for x
    x = 30,678,709.89/5,964.09
  6. Step 6: Final answer
    x = 5,143.90

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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.