Home / 3,829.23-5,284.31-2,257.38

Finding the Fourth Proportional to 3,829.23, 5,284.31 and 2,257.38

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Solution

The fourth proportional to 3,829.23, 5,284.31 and 2,257.38 is: 3,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.23 : 5,284.31 = 2,257.38 : x
  2. Step 2: Convert to fraction form
    3,829.23/5,284.31 = 2,257.38/x
  3. Step 3: Cross multiply
    3,829.23x = 5,284.31 × 2,257.38
  4. Step 4: Simplify right side
    3,829.23x = 11,928,684.42
  5. Step 5: Solve for x
    x = 11,928,684.42/3,829.23
  6. Step 6: Final answer
    x = 3,115.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.