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Finding the Fourth Proportional to 5,409.69, 8,108.34 and 2,450.39

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Solution

The fourth proportional to 5,409.69, 8,108.34 and 2,450.39 is: 3,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.69 : 8,108.34 = 2,450.39 : x
  2. Step 2: Convert to fraction form
    5,409.69/8,108.34 = 2,450.39/x
  3. Step 3: Cross multiply
    5,409.69x = 8,108.34 × 2,450.39
  4. Step 4: Simplify right side
    5,409.69x = 19,868,545.52
  5. Step 5: Solve for x
    x = 19,868,545.52/5,409.69
  6. Step 6: Final answer
    x = 3,672.77

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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.