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Finding the Fourth Proportional to 5,805.24, 8,711.67 and 3,463.50

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Solution

The fourth proportional to 5,805.24, 8,711.67 and 3,463.50 is: 5,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.24 : 8,711.67 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    5,805.24/8,711.67 = 3,463.50/x
  3. Step 3: Cross multiply
    5,805.24x = 8,711.67 × 3,463.50
  4. Step 4: Simplify right side
    5,805.24x = 30,172,869.05
  5. Step 5: Solve for x
    x = 30,172,869.05/5,805.24
  6. Step 6: Final answer
    x = 5,197.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.