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Finding the Fourth Proportional to 3,568.62, 4,926.06 and 3,194.94

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Solution

The fourth proportional to 3,568.62, 4,926.06 and 3,194.94 is: 4,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.62 : 4,926.06 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    3,568.62/4,926.06 = 3,194.94/x
  3. Step 3: Cross multiply
    3,568.62x = 4,926.06 × 3,194.94
  4. Step 4: Simplify right side
    3,568.62x = 15,738,466.14
  5. Step 5: Solve for x
    x = 15,738,466.14/3,568.62
  6. Step 6: Final answer
    x = 4,410.24

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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.