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Finding the Fourth Proportional to 5,754.95, 8,633.81 and 2,006.20

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Solution

The fourth proportional to 5,754.95, 8,633.81 and 2,006.20 is: 3,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.95 : 8,633.81 = 2,006.20 : x
  2. Step 2: Convert to fraction form
    5,754.95/8,633.81 = 2,006.20/x
  3. Step 3: Cross multiply
    5,754.95x = 8,633.81 × 2,006.20
  4. Step 4: Simplify right side
    5,754.95x = 17,321,149.62
  5. Step 5: Solve for x
    x = 17,321,149.62/5,754.95
  6. Step 6: Final answer
    x = 3,009.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.