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Finding the Fourth Proportional to 3,691.44, 5,094.16 and 2,012.92

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Solution

The fourth proportional to 3,691.44, 5,094.16 and 2,012.92 is: 2,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.44 : 5,094.16 = 2,012.92 : x
  2. Step 2: Convert to fraction form
    3,691.44/5,094.16 = 2,012.92/x
  3. Step 3: Cross multiply
    3,691.44x = 5,094.16 × 2,012.92
  4. Step 4: Simplify right side
    3,691.44x = 10,254,118.78
  5. Step 5: Solve for x
    x = 10,254,118.78/3,691.44
  6. Step 6: Final answer
    x = 2,777.81

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Half scale
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Double 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.