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Finding the Fourth Proportional to 6,179.62, 8,527.61 and 3,822.02

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Solution

The fourth proportional to 6,179.62, 8,527.61 and 3,822.02 is: 5,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.62 : 8,527.61 = 3,822.02 : x
  2. Step 2: Convert to fraction form
    6,179.62/8,527.61 = 3,822.02/x
  3. Step 3: Cross multiply
    6,179.62x = 8,527.61 × 3,822.02
  4. Step 4: Simplify right side
    6,179.62x = 32,592,695.97
  5. Step 5: Solve for x
    x = 32,592,695.97/6,179.62
  6. Step 6: Final answer
    x = 5,274.22

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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.