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Finding the Fourth Proportional to 5,971.82, 8,234.48 and 4,083.71

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Solution

The fourth proportional to 5,971.82, 8,234.48 and 4,083.71 is: 5,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.82 : 8,234.48 = 4,083.71 : x
  2. Step 2: Convert to fraction form
    5,971.82/8,234.48 = 4,083.71/x
  3. Step 3: Cross multiply
    5,971.82x = 8,234.48 × 4,083.71
  4. Step 4: Simplify right side
    5,971.82x = 33,627,207.90
  5. Step 5: Solve for x
    x = 33,627,207.90/5,971.82
  6. Step 6: Final answer
    x = 5,630.98

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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.