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Finding the Fourth Proportional to 5,049.24, 7,576.32 and 3,384.42

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Solution

The fourth proportional to 5,049.24, 7,576.32 and 3,384.42 is: 5,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.24 : 7,576.32 = 3,384.42 : x
  2. Step 2: Convert to fraction form
    5,049.24/7,576.32 = 3,384.42/x
  3. Step 3: Cross multiply
    5,049.24x = 7,576.32 × 3,384.42
  4. Step 4: Simplify right side
    5,049.24x = 25,641,448.93
  5. Step 5: Solve for x
    x = 25,641,448.93/5,049.24
  6. Step 6: Final answer
    x = 5,078.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.