Home / 5,202.36-7,796.64-2,277

Finding the Fourth Proportional to 5,202.36, 7,796.64 and 2,277

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Solution

The fourth proportional to 5,202.36, 7,796.64 and 2,277 is: 3,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.36 : 7,796.64 = 2,277 : x
  2. Step 2: Convert to fraction form
    5,202.36/7,796.64 = 2,277/x
  3. Step 3: Cross multiply
    5,202.36x = 7,796.64 × 2,277
  4. Step 4: Simplify right side
    5,202.36x = 17,752,949.28
  5. Step 5: Solve for x
    x = 17,752,949.28/5,202.36
  6. Step 6: Final answer
    x = 3,412.48

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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.