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Finding the Fourth Proportional to 3,466.62, 4,774.41 and 3,194.46

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Solution

The fourth proportional to 3,466.62, 4,774.41 and 3,194.46 is: 4,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.62 : 4,774.41 = 3,194.46 : x
  2. Step 2: Convert to fraction form
    3,466.62/4,774.41 = 3,194.46/x
  3. Step 3: Cross multiply
    3,466.62x = 4,774.41 × 3,194.46
  4. Step 4: Simplify right side
    3,466.62x = 15,251,661.77
  5. Step 5: Solve for x
    x = 15,251,661.77/3,466.62
  6. Step 6: Final answer
    x = 4,399.58

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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.