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Finding the Fourth Proportional to 5,545.31, 8,311 and 2,772.75

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Solution

The fourth proportional to 5,545.31, 8,311 and 2,772.75 is: 4,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.31 : 8,311 = 2,772.75 : x
  2. Step 2: Convert to fraction form
    5,545.31/8,311 = 2,772.75/x
  3. Step 3: Cross multiply
    5,545.31x = 8,311 × 2,772.75
  4. Step 4: Simplify right side
    5,545.31x = 23,044,325.25
  5. Step 5: Solve for x
    x = 23,044,325.25/5,545.31
  6. Step 6: Final answer
    x = 4,155.64

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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.