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Finding the Fourth Proportional to 5,199.42, 7,801.83 and 3,974.70

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Solution

The fourth proportional to 5,199.42, 7,801.83 and 3,974.70 is: 5,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.42 : 7,801.83 = 3,974.70 : x
  2. Step 2: Convert to fraction form
    5,199.42/7,801.83 = 3,974.70/x
  3. Step 3: Cross multiply
    5,199.42x = 7,801.83 × 3,974.70
  4. Step 4: Simplify right side
    5,199.42x = 31,009,933.70
  5. Step 5: Solve for x
    x = 31,009,933.70/5,199.42
  6. Step 6: Final answer
    x = 5,964.11

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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.