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Finding the Fourth Proportional to 3,694.77, 5,096.17 and 2,201.53

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Solution

The fourth proportional to 3,694.77, 5,096.17 and 2,201.53 is: 3,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.77 : 5,096.17 = 2,201.53 : x
  2. Step 2: Convert to fraction form
    3,694.77/5,096.17 = 2,201.53/x
  3. Step 3: Cross multiply
    3,694.77x = 5,096.17 × 2,201.53
  4. Step 4: Simplify right side
    3,694.77x = 11,219,371.14
  5. Step 5: Solve for x
    x = 11,219,371.14/3,694.77
  6. Step 6: Final answer
    x = 3,036.55

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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.