Home / 3,822.56-5,734.10-1,631.28

Finding the Fourth Proportional to 3,822.56, 5,734.10 and 1,631.28

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Solution

The fourth proportional to 3,822.56, 5,734.10 and 1,631.28 is: 2,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.56 : 5,734.10 = 1,631.28 : x
  2. Step 2: Convert to fraction form
    3,822.56/5,734.10 = 1,631.28/x
  3. Step 3: Cross multiply
    3,822.56x = 5,734.10 × 1,631.28
  4. Step 4: Simplify right side
    3,822.56x = 9,353,922.65
  5. Step 5: Solve for x
    x = 9,353,922.65/3,822.56
  6. Step 6: Final answer
    x = 2,447.03

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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.