Home / 3,828.42-5,284.20-2,257.02

Finding the Fourth Proportional to 3,828.42, 5,284.20 and 2,257.02

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Solution

The fourth proportional to 3,828.42, 5,284.20 and 2,257.02 is: 3,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.42 : 5,284.20 = 2,257.02 : x
  2. Step 2: Convert to fraction form
    3,828.42/5,284.20 = 2,257.02/x
  3. Step 3: Cross multiply
    3,828.42x = 5,284.20 × 2,257.02
  4. Step 4: Simplify right side
    3,828.42x = 11,926,545.08
  5. Step 5: Solve for x
    x = 11,926,545.08/3,828.42
  6. Step 6: Final answer
    x = 3,115.27

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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.