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Finding the Fourth Proportional to 5,469.57, 8,208.29 and 3,710.19

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Solution

The fourth proportional to 5,469.57, 8,208.29 and 3,710.19 is: 5,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.57 : 8,208.29 = 3,710.19 : x
  2. Step 2: Convert to fraction form
    5,469.57/8,208.29 = 3,710.19/x
  3. Step 3: Cross multiply
    5,469.57x = 8,208.29 × 3,710.19
  4. Step 4: Simplify right side
    5,469.57x = 30,454,296.92
  5. Step 5: Solve for x
    x = 30,454,296.92/5,469.57
  6. Step 6: Final answer
    x = 5,567.95

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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.