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Finding the Fourth Proportional to 5,814.62, 8,024 and 3,296.97

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Solution

The fourth proportional to 5,814.62, 8,024 and 3,296.97 is: 4,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.62 : 8,024 = 3,296.97 : x
  2. Step 2: Convert to fraction form
    5,814.62/8,024 = 3,296.97/x
  3. Step 3: Cross multiply
    5,814.62x = 8,024 × 3,296.97
  4. Step 4: Simplify right side
    5,814.62x = 26,454,847.16
  5. Step 5: Solve for x
    x = 26,454,847.16/5,814.62
  6. Step 6: Final answer
    x = 4,549.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.