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Finding the Fourth Proportional to 5,471.71, 8,190.59 and 4,422.96

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Solution

The fourth proportional to 5,471.71, 8,190.59 and 4,422.96 is: 6,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.71 : 8,190.59 = 4,422.96 : x
  2. Step 2: Convert to fraction form
    5,471.71/8,190.59 = 4,422.96/x
  3. Step 3: Cross multiply
    5,471.71x = 8,190.59 × 4,422.96
  4. Step 4: Simplify right side
    5,471.71x = 36,226,629.83
  5. Step 5: Solve for x
    x = 36,226,629.83/5,471.71
  6. Step 6: Final answer
    x = 6,620.72

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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.