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Finding the Fourth Proportional to 5,545.62, 7,652.81 and 3,027.80

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Solution

The fourth proportional to 5,545.62, 7,652.81 and 3,027.80 is: 4,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.62 : 7,652.81 = 3,027.80 : x
  2. Step 2: Convert to fraction form
    5,545.62/7,652.81 = 3,027.80/x
  3. Step 3: Cross multiply
    5,545.62x = 7,652.81 × 3,027.80
  4. Step 4: Simplify right side
    5,545.62x = 23,171,124.71
  5. Step 5: Solve for x
    x = 23,171,124.71/5,545.62
  6. Step 6: Final answer
    x = 4,178.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.