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Finding the Fourth Proportional to 5,781.96, 8,670.80 and 2,083.20

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Solution

The fourth proportional to 5,781.96, 8,670.80 and 2,083.20 is: 3,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.96 : 8,670.80 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    5,781.96/8,670.80 = 2,083.20/x
  3. Step 3: Cross multiply
    5,781.96x = 8,670.80 × 2,083.20
  4. Step 4: Simplify right side
    5,781.96x = 18,063,010.56
  5. Step 5: Solve for x
    x = 18,063,010.56/5,781.96
  6. Step 6: Final answer
    x = 3,124.03

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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.