Home / 5,200.38-7,796.01-2,277.70

Finding the Fourth Proportional to 5,200.38, 7,796.01 and 2,277.70

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Solution

The fourth proportional to 5,200.38, 7,796.01 and 2,277.70 is: 3,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.38 : 7,796.01 = 2,277.70 : x
  2. Step 2: Convert to fraction form
    5,200.38/7,796.01 = 2,277.70/x
  3. Step 3: Cross multiply
    5,200.38x = 7,796.01 × 2,277.70
  4. Step 4: Simplify right side
    5,200.38x = 17,756,971.98
  5. Step 5: Solve for x
    x = 17,756,971.98/5,200.38
  6. Step 6: Final answer
    x = 3,414.55

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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.