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Finding the Fourth Proportional to 5,971.32, 8,233.79 and 4,083.21

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Solution

The fourth proportional to 5,971.32, 8,233.79 and 4,083.21 is: 5,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.32 : 8,233.79 = 4,083.21 : x
  2. Step 2: Convert to fraction form
    5,971.32/8,233.79 = 4,083.21/x
  3. Step 3: Cross multiply
    5,971.32x = 8,233.79 × 4,083.21
  4. Step 4: Simplify right side
    5,971.32x = 33,620,273.25
  5. Step 5: Solve for x
    x = 33,620,273.25/5,971.32
  6. Step 6: Final answer
    x = 5,630.29

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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.