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Finding the Fourth Proportional to 5,832.64, 8,049.90 and 3,476.08

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Solution

The fourth proportional to 5,832.64, 8,049.90 and 3,476.08 is: 4,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.64 : 8,049.90 = 3,476.08 : x
  2. Step 2: Convert to fraction form
    5,832.64/8,049.90 = 3,476.08/x
  3. Step 3: Cross multiply
    5,832.64x = 8,049.90 × 3,476.08
  4. Step 4: Simplify right side
    5,832.64x = 27,982,096.39
  5. Step 5: Solve for x
    x = 27,982,096.39/5,832.64
  6. Step 6: Final answer
    x = 4,797.50

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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.