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Finding the Fourth Proportional to 3,545.54, 5,303.66 and 3,224.78

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Solution

The fourth proportional to 3,545.54, 5,303.66 and 3,224.78 is: 4,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.54 : 5,303.66 = 3,224.78 : x
  2. Step 2: Convert to fraction form
    3,545.54/5,303.66 = 3,224.78/x
  3. Step 3: Cross multiply
    3,545.54x = 5,303.66 × 3,224.78
  4. Step 4: Simplify right side
    3,545.54x = 17,103,136.69
  5. Step 5: Solve for x
    x = 17,103,136.69/3,545.54
  6. Step 6: Final answer
    x = 4,823.85

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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.