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Finding the Fourth Proportional to 3,822.78, 5,732.81 and 1,482.01

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Solution

The fourth proportional to 3,822.78, 5,732.81 and 1,482.01 is: 2,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.78 : 5,732.81 = 1,482.01 : x
  2. Step 2: Convert to fraction form
    3,822.78/5,732.81 = 1,482.01/x
  3. Step 3: Cross multiply
    3,822.78x = 5,732.81 × 1,482.01
  4. Step 4: Simplify right side
    3,822.78x = 8,496,081.75
  5. Step 5: Solve for x
    x = 8,496,081.75/3,822.78
  6. Step 6: Final answer
    x = 2,222.49

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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.