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Finding the Fourth Proportional to 5,849.82, 8,729.46 and 5,226.75

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Solution

The fourth proportional to 5,849.82, 8,729.46 and 5,226.75 is: 7,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.82 : 8,729.46 = 5,226.75 : x
  2. Step 2: Convert to fraction form
    5,849.82/8,729.46 = 5,226.75/x
  3. Step 3: Cross multiply
    5,849.82x = 8,729.46 × 5,226.75
  4. Step 4: Simplify right side
    5,849.82x = 45,626,705.06
  5. Step 5: Solve for x
    x = 45,626,705.06/5,849.82
  6. Step 6: Final answer
    x = 7,799.68

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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.