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Finding the Fourth Proportional to 3,864.83, 5,327.24 and 3,024.18

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Solution

The fourth proportional to 3,864.83, 5,327.24 and 3,024.18 is: 4,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.83 : 5,327.24 = 3,024.18 : x
  2. Step 2: Convert to fraction form
    3,864.83/5,327.24 = 3,024.18/x
  3. Step 3: Cross multiply
    3,864.83x = 5,327.24 × 3,024.18
  4. Step 4: Simplify right side
    3,864.83x = 16,110,517.54
  5. Step 5: Solve for x
    x = 16,110,517.54/3,864.83
  6. Step 6: Final answer
    x = 4,168.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.