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Finding the Fourth Proportional to 5,732.42, 8,584.02 and 5,251.28

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Solution

The fourth proportional to 5,732.42, 8,584.02 and 5,251.28 is: 7,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.42 : 8,584.02 = 5,251.28 : x
  2. Step 2: Convert to fraction form
    5,732.42/8,584.02 = 5,251.28/x
  3. Step 3: Cross multiply
    5,732.42x = 8,584.02 × 5,251.28
  4. Step 4: Simplify right side
    5,732.42x = 45,077,049.63
  5. Step 5: Solve for x
    x = 45,077,049.63/5,732.42
  6. Step 6: Final answer
    x = 7,863.54

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Why These Related Problems?

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