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Finding the Fourth Proportional to 5,382.64, 8,073.90 and 3,794.82

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Solution

The fourth proportional to 5,382.64, 8,073.90 and 3,794.82 is: 5,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.64 : 8,073.90 = 3,794.82 : x
  2. Step 2: Convert to fraction form
    5,382.64/8,073.90 = 3,794.82/x
  3. Step 3: Cross multiply
    5,382.64x = 8,073.90 × 3,794.82
  4. Step 4: Simplify right side
    5,382.64x = 30,638,997.20
  5. Step 5: Solve for x
    x = 30,638,997.20/5,382.64
  6. Step 6: Final answer
    x = 5,692.19

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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.