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Finding the Fourth Proportional to 5,471.48, 8,206.23 and 1,773.20

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Solution

The fourth proportional to 5,471.48, 8,206.23 and 1,773.20 is: 2,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.48 : 8,206.23 = 1,773.20 : x
  2. Step 2: Convert to fraction form
    5,471.48/8,206.23 = 1,773.20/x
  3. Step 3: Cross multiply
    5,471.48x = 8,206.23 × 1,773.20
  4. Step 4: Simplify right side
    5,471.48x = 14,551,287.04
  5. Step 5: Solve for x
    x = 14,551,287.04/5,471.48
  6. Step 6: Final answer
    x = 2,659.48

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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.