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Finding the Fourth Proportional to 5,495.72, 8,227.51 and 3,409.43

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Solution

The fourth proportional to 5,495.72, 8,227.51 and 3,409.43 is: 5,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.72 : 8,227.51 = 3,409.43 : x
  2. Step 2: Convert to fraction form
    5,495.72/8,227.51 = 3,409.43/x
  3. Step 3: Cross multiply
    5,495.72x = 8,227.51 × 3,409.43
  4. Step 4: Simplify right side
    5,495.72x = 28,051,069.76
  5. Step 5: Solve for x
    x = 28,051,069.76/5,495.72
  6. Step 6: Final answer
    x = 5,104.17

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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.