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Finding the Fourth Proportional to 5,290.14, 7,936.12 and 2,171.84

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Solution

The fourth proportional to 5,290.14, 7,936.12 and 2,171.84 is: 3,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.14 : 7,936.12 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    5,290.14/7,936.12 = 2,171.84/x
  3. Step 3: Cross multiply
    5,290.14x = 7,936.12 × 2,171.84
  4. Step 4: Simplify right side
    5,290.14x = 17,235,982.86
  5. Step 5: Solve for x
    x = 17,235,982.86/5,290.14
  6. Step 6: Final answer
    x = 3,258.13

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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.