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Finding the Fourth Proportional to 5,474.72, 8,216.08 and 2,188.78

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Solution

The fourth proportional to 5,474.72, 8,216.08 and 2,188.78 is: 3,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.72 : 8,216.08 = 2,188.78 : x
  2. Step 2: Convert to fraction form
    5,474.72/8,216.08 = 2,188.78/x
  3. Step 3: Cross multiply
    5,474.72x = 8,216.08 × 2,188.78
  4. Step 4: Simplify right side
    5,474.72x = 17,983,191.58
  5. Step 5: Solve for x
    x = 17,983,191.58/5,474.72
  6. Step 6: Final answer
    x = 3,284.77

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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.