Home / 3,784.29-5,222.78-2,292.17

Finding the Fourth Proportional to 3,784.29, 5,222.78 and 2,292.17

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Solution

The fourth proportional to 3,784.29, 5,222.78 and 2,292.17 is: 3,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.29 : 5,222.78 = 2,292.17 : x
  2. Step 2: Convert to fraction form
    3,784.29/5,222.78 = 2,292.17/x
  3. Step 3: Cross multiply
    3,784.29x = 5,222.78 × 2,292.17
  4. Step 4: Simplify right side
    3,784.29x = 11,971,462.06
  5. Step 5: Solve for x
    x = 11,971,462.06/3,784.29
  6. Step 6: Final answer
    x = 3,163.47

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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.