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Finding the Fourth Proportional to 5,794, 8,616.46 and 5,609.47

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Solution

The fourth proportional to 5,794, 8,616.46 and 5,609.47 is: 8,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 8,616.46 = 5,609.47 : x
  2. Step 2: Convert to fraction form
    5,794/8,616.46 = 5,609.47/x
  3. Step 3: Cross multiply
    5,794x = 8,616.46 × 5,609.47
  4. Step 4: Simplify right side
    5,794x = 48,333,773.88
  5. Step 5: Solve for x
    x = 48,333,773.88/5,794
  6. Step 6: Final answer
    x = 8,342.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.