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Finding the Fourth Proportional to 5,482.44, 8,222.44 and 3,291.79

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Solution

The fourth proportional to 5,482.44, 8,222.44 and 3,291.79 is: 4,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.44 : 8,222.44 = 3,291.79 : x
  2. Step 2: Convert to fraction form
    5,482.44/8,222.44 = 3,291.79/x
  3. Step 3: Cross multiply
    5,482.44x = 8,222.44 × 3,291.79
  4. Step 4: Simplify right side
    5,482.44x = 27,066,545.77
  5. Step 5: Solve for x
    x = 27,066,545.77/5,482.44
  6. Step 6: Final answer
    x = 4,936.95

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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.