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Finding the Fourth Proportional to 4,019.52, 6,023.34 and 2,781.84

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Solution

The fourth proportional to 4,019.52, 6,023.34 and 2,781.84 is: 4,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.52 : 6,023.34 = 2,781.84 : x
  2. Step 2: Convert to fraction form
    4,019.52/6,023.34 = 2,781.84/x
  3. Step 3: Cross multiply
    4,019.52x = 6,023.34 × 2,781.84
  4. Step 4: Simplify right side
    4,019.52x = 16,755,968.15
  5. Step 5: Solve for x
    x = 16,755,968.15/4,019.52
  6. Step 6: Final answer
    x = 4,168.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.