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Finding the Fourth Proportional to 5,857.44, 8,791.02 and 4,414.02

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Solution

The fourth proportional to 5,857.44, 8,791.02 and 4,414.02 is: 6,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.44 : 8,791.02 = 4,414.02 : x
  2. Step 2: Convert to fraction form
    5,857.44/8,791.02 = 4,414.02/x
  3. Step 3: Cross multiply
    5,857.44x = 8,791.02 × 4,414.02
  4. Step 4: Simplify right side
    5,857.44x = 38,803,738.10
  5. Step 5: Solve for x
    x = 38,803,738.10/5,857.44
  6. Step 6: Final answer
    x = 6,624.69

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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.