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Finding the Fourth Proportional to 5,471.94, 8,200.89 and 2,348.31

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Solution

The fourth proportional to 5,471.94, 8,200.89 and 2,348.31 is: 3,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.94 : 8,200.89 = 2,348.31 : x
  2. Step 2: Convert to fraction form
    5,471.94/8,200.89 = 2,348.31/x
  3. Step 3: Cross multiply
    5,471.94x = 8,200.89 × 2,348.31
  4. Step 4: Simplify right side
    5,471.94x = 19,258,232.00
  5. Step 5: Solve for x
    x = 19,258,232.00/5,471.94
  6. Step 6: Final answer
    x = 3,519.45

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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.