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Finding the Fourth Proportional to 3,607.40, 5,419.20 and 3,469.70

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Solution

The fourth proportional to 3,607.40, 5,419.20 and 3,469.70 is: 5,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.40 : 5,419.20 = 3,469.70 : x
  2. Step 2: Convert to fraction form
    3,607.40/5,419.20 = 3,469.70/x
  3. Step 3: Cross multiply
    3,607.40x = 5,419.20 × 3,469.70
  4. Step 4: Simplify right side
    3,607.40x = 18,802,998.24
  5. Step 5: Solve for x
    x = 18,802,998.24/3,607.40
  6. Step 6: Final answer
    x = 5,212.34

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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.