Home / 3,823.64-5,735.46-1,226.78

Finding the Fourth Proportional to 3,823.64, 5,735.46 and 1,226.78

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Solution

The fourth proportional to 3,823.64, 5,735.46 and 1,226.78 is: 1,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.64 : 5,735.46 = 1,226.78 : x
  2. Step 2: Convert to fraction form
    3,823.64/5,735.46 = 1,226.78/x
  3. Step 3: Cross multiply
    3,823.64x = 5,735.46 × 1,226.78
  4. Step 4: Simplify right side
    3,823.64x = 7,036,147.62
  5. Step 5: Solve for x
    x = 7,036,147.62/3,823.64
  6. Step 6: Final answer
    x = 1,840.17

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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.