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Finding the Fourth Proportional to 3,844.06, 5,767.72 and 2,287.06

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Solution

The fourth proportional to 3,844.06, 5,767.72 and 2,287.06 is: 3,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.06 : 5,767.72 = 2,287.06 : x
  2. Step 2: Convert to fraction form
    3,844.06/5,767.72 = 2,287.06/x
  3. Step 3: Cross multiply
    3,844.06x = 5,767.72 × 2,287.06
  4. Step 4: Simplify right side
    3,844.06x = 13,191,121.70
  5. Step 5: Solve for x
    x = 13,191,121.70/3,844.06
  6. Step 6: Final answer
    x = 3,431.56

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1.5x scale

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.