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Finding the Fourth Proportional to 3,967.38, 5,952.69 and 2,120.58

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Solution

The fourth proportional to 3,967.38, 5,952.69 and 2,120.58 is: 3,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.38 : 5,952.69 = 2,120.58 : x
  2. Step 2: Convert to fraction form
    3,967.38/5,952.69 = 2,120.58/x
  3. Step 3: Cross multiply
    3,967.38x = 5,952.69 × 2,120.58
  4. Step 4: Simplify right side
    3,967.38x = 12,623,155.36
  5. Step 5: Solve for x
    x = 12,623,155.36/3,967.38
  6. Step 6: Final answer
    x = 3,181.74

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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.