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Finding the Fourth Proportional to 5,471.72, 8,206.58 and 2,352.28

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Solution

The fourth proportional to 5,471.72, 8,206.58 and 2,352.28 is: 3,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.72 : 8,206.58 = 2,352.28 : x
  2. Step 2: Convert to fraction form
    5,471.72/8,206.58 = 2,352.28/x
  3. Step 3: Cross multiply
    5,471.72x = 8,206.58 × 2,352.28
  4. Step 4: Simplify right side
    5,471.72x = 19,304,174.00
  5. Step 5: Solve for x
    x = 19,304,174.00/5,471.72
  6. Step 6: Final answer
    x = 3,527.99

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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.