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Finding the Fourth Proportional to 5,781.73, 7,978.84 and 3,129.19

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Solution

The fourth proportional to 5,781.73, 7,978.84 and 3,129.19 is: 4,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.73 : 7,978.84 = 3,129.19 : x
  2. Step 2: Convert to fraction form
    5,781.73/7,978.84 = 3,129.19/x
  3. Step 3: Cross multiply
    5,781.73x = 7,978.84 × 3,129.19
  4. Step 4: Simplify right side
    5,781.73x = 24,967,341.05
  5. Step 5: Solve for x
    x = 24,967,341.05/5,781.73
  6. Step 6: Final answer
    x = 4,318.32

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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.