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Finding the Fourth Proportional to 3,694.42, 5,097.39 and 2,258.42

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Solution

The fourth proportional to 3,694.42, 5,097.39 and 2,258.42 is: 3,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.42 : 5,097.39 = 2,258.42 : x
  2. Step 2: Convert to fraction form
    3,694.42/5,097.39 = 2,258.42/x
  3. Step 3: Cross multiply
    3,694.42x = 5,097.39 × 2,258.42
  4. Step 4: Simplify right side
    3,694.42x = 11,512,047.52
  5. Step 5: Solve for x
    x = 11,512,047.52/3,694.42
  6. Step 6: Final answer
    x = 3,116.06

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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.