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Finding the Fourth Proportional to 4,094.19, 5,650.02 and 2,231.19

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Solution

The fourth proportional to 4,094.19, 5,650.02 and 2,231.19 is: 3,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.19 : 5,650.02 = 2,231.19 : x
  2. Step 2: Convert to fraction form
    4,094.19/5,650.02 = 2,231.19/x
  3. Step 3: Cross multiply
    4,094.19x = 5,650.02 × 2,231.19
  4. Step 4: Simplify right side
    4,094.19x = 12,606,268.12
  5. Step 5: Solve for x
    x = 12,606,268.12/4,094.19
  6. Step 6: Final answer
    x = 3,079.06

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Half scale
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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.