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Finding the Fourth Proportional to 4,164.56, 5,747.03 and 2,276.12

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Solution

The fourth proportional to 4,164.56, 5,747.03 and 2,276.12 is: 3,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.56 : 5,747.03 = 2,276.12 : x
  2. Step 2: Convert to fraction form
    4,164.56/5,747.03 = 2,276.12/x
  3. Step 3: Cross multiply
    4,164.56x = 5,747.03 × 2,276.12
  4. Step 4: Simplify right side
    4,164.56x = 13,080,918.54
  5. Step 5: Solve for x
    x = 13,080,918.54/4,164.56
  6. Step 6: Final answer
    x = 3,141.01

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1.5x scale

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.