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Finding the Fourth Proportional to 5,811.62, 8,019.90 and 3,293.64

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Solution

The fourth proportional to 5,811.62, 8,019.90 and 3,293.64 is: 4,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.62 : 8,019.90 = 3,293.64 : x
  2. Step 2: Convert to fraction form
    5,811.62/8,019.90 = 3,293.64/x
  3. Step 3: Cross multiply
    5,811.62x = 8,019.90 × 3,293.64
  4. Step 4: Simplify right side
    5,811.62x = 26,414,663.44
  5. Step 5: Solve for x
    x = 26,414,663.44/5,811.62
  6. Step 6: Final answer
    x = 4,545.15

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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.