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Finding the Fourth Proportional to 5,474.39, 8,204.56 and 3,499.23

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Solution

The fourth proportional to 5,474.39, 8,204.56 and 3,499.23 is: 5,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.39 : 8,204.56 = 3,499.23 : x
  2. Step 2: Convert to fraction form
    5,474.39/8,204.56 = 3,499.23/x
  3. Step 3: Cross multiply
    5,474.39x = 8,204.56 × 3,499.23
  4. Step 4: Simplify right side
    5,474.39x = 28,709,664.51
  5. Step 5: Solve for x
    x = 28,709,664.51/5,474.39
  6. Step 6: Final answer
    x = 5,244.36

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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.