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Finding the Fourth Proportional to 4,161.42, 5,743.08 and 2,568.42

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Solution

The fourth proportional to 4,161.42, 5,743.08 and 2,568.42 is: 3,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.42 : 5,743.08 = 2,568.42 : x
  2. Step 2: Convert to fraction form
    4,161.42/5,743.08 = 2,568.42/x
  3. Step 3: Cross multiply
    4,161.42x = 5,743.08 × 2,568.42
  4. Step 4: Simplify right side
    4,161.42x = 14,750,641.53
  5. Step 5: Solve for x
    x = 14,750,641.53/4,161.42
  6. Step 6: Final answer
    x = 3,544.62

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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.