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Finding the Fourth Proportional to 5,850.78, 8,057.82 and 5,832.96

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Solution

The fourth proportional to 5,850.78, 8,057.82 and 5,832.96 is: 8,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.78 : 8,057.82 = 5,832.96 : x
  2. Step 2: Convert to fraction form
    5,850.78/8,057.82 = 5,832.96/x
  3. Step 3: Cross multiply
    5,850.78x = 8,057.82 × 5,832.96
  4. Step 4: Simplify right side
    5,850.78x = 47,000,941.75
  5. Step 5: Solve for x
    x = 47,000,941.75/5,850.78
  6. Step 6: Final answer
    x = 8,033.28

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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.