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Finding the Fourth Proportional to 3,863.59, 5,333.01 and 2,270.21

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Solution

The fourth proportional to 3,863.59, 5,333.01 and 2,270.21 is: 3,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.59 : 5,333.01 = 2,270.21 : x
  2. Step 2: Convert to fraction form
    3,863.59/5,333.01 = 2,270.21/x
  3. Step 3: Cross multiply
    3,863.59x = 5,333.01 × 2,270.21
  4. Step 4: Simplify right side
    3,863.59x = 12,107,045.97
  5. Step 5: Solve for x
    x = 12,107,045.97/3,863.59
  6. Step 6: Final answer
    x = 3,133.63

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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.