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Finding the Fourth Proportional to 5,811.65, 8,020.22 and 3,294.02

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Solution

The fourth proportional to 5,811.65, 8,020.22 and 3,294.02 is: 4,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.65 : 8,020.22 = 3,294.02 : x
  2. Step 2: Convert to fraction form
    5,811.65/8,020.22 = 3,294.02/x
  3. Step 3: Cross multiply
    5,811.65x = 8,020.22 × 3,294.02
  4. Step 4: Simplify right side
    5,811.65x = 26,418,723.55
  5. Step 5: Solve for x
    x = 26,418,723.55/5,811.65
  6. Step 6: Final answer
    x = 4,545.82

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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.