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Finding the Fourth Proportional to 3,794.48, 5,662.02 and 3,400.46

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Solution

The fourth proportional to 3,794.48, 5,662.02 and 3,400.46 is: 5,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.48 : 5,662.02 = 3,400.46 : x
  2. Step 2: Convert to fraction form
    3,794.48/5,662.02 = 3,400.46/x
  3. Step 3: Cross multiply
    3,794.48x = 5,662.02 × 3,400.46
  4. Step 4: Simplify right side
    3,794.48x = 19,253,472.53
  5. Step 5: Solve for x
    x = 19,253,472.53/3,794.48
  6. Step 6: Final answer
    x = 5,074.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.