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Finding the Fourth Proportional to 3,667.84, 5,489.40 and 3,364.36

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Solution

The fourth proportional to 3,667.84, 5,489.40 and 3,364.36 is: 5,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.84 : 5,489.40 = 3,364.36 : x
  2. Step 2: Convert to fraction form
    3,667.84/5,489.40 = 3,364.36/x
  3. Step 3: Cross multiply
    3,667.84x = 5,489.40 × 3,364.36
  4. Step 4: Simplify right side
    3,667.84x = 18,468,316.68
  5. Step 5: Solve for x
    x = 18,468,316.68/3,667.84
  6. Step 6: Final answer
    x = 5,035.21

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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.