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Finding the Fourth Proportional to 3,289.97, 4,892.65 and 3,186.14

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Solution

The fourth proportional to 3,289.97, 4,892.65 and 3,186.14 is: 4,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.97 : 4,892.65 = 3,186.14 : x
  2. Step 2: Convert to fraction form
    3,289.97/4,892.65 = 3,186.14/x
  3. Step 3: Cross multiply
    3,289.97x = 4,892.65 × 3,186.14
  4. Step 4: Simplify right side
    3,289.97x = 15,588,667.87
  5. Step 5: Solve for x
    x = 15,588,667.87/3,289.97
  6. Step 6: Final answer
    x = 4,738.24

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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.