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Finding the Fourth Proportional to 6,191.80, 8,545.14 and 3,834.04

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Solution

The fourth proportional to 6,191.80, 8,545.14 and 3,834.04 is: 5,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.80 : 8,545.14 = 3,834.04 : x
  2. Step 2: Convert to fraction form
    6,191.80/8,545.14 = 3,834.04/x
  3. Step 3: Cross multiply
    6,191.80x = 8,545.14 × 3,834.04
  4. Step 4: Simplify right side
    6,191.80x = 32,762,408.57
  5. Step 5: Solve for x
    x = 32,762,408.57/6,191.80
  6. Step 6: Final answer
    x = 5,291.26

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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.