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Finding the Fourth Proportional to 3,614.34, 5,390.97 and 3,504.96

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Solution

The fourth proportional to 3,614.34, 5,390.97 and 3,504.96 is: 5,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.34 : 5,390.97 = 3,504.96 : x
  2. Step 2: Convert to fraction form
    3,614.34/5,390.97 = 3,504.96/x
  3. Step 3: Cross multiply
    3,614.34x = 5,390.97 × 3,504.96
  4. Step 4: Simplify right side
    3,614.34x = 18,895,134.21
  5. Step 5: Solve for x
    x = 18,895,134.21/3,614.34
  6. Step 6: Final answer
    x = 5,227.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.