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Finding the Fourth Proportional to 3,494.28, 4,824.18 and 3,105.48

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Solution

The fourth proportional to 3,494.28, 4,824.18 and 3,105.48 is: 4,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.28 : 4,824.18 = 3,105.48 : x
  2. Step 2: Convert to fraction form
    3,494.28/4,824.18 = 3,105.48/x
  3. Step 3: Cross multiply
    3,494.28x = 4,824.18 × 3,105.48
  4. Step 4: Simplify right side
    3,494.28x = 14,981,394.51
  5. Step 5: Solve for x
    x = 14,981,394.51/3,494.28
  6. Step 6: Final answer
    x = 4,287.41

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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.