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Finding the Fourth Proportional to 3,992.32, 5,988.50 and 1,911.84

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Solution

The fourth proportional to 3,992.32, 5,988.50 and 1,911.84 is: 2,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.32 : 5,988.50 = 1,911.84 : x
  2. Step 2: Convert to fraction form
    3,992.32/5,988.50 = 1,911.84/x
  3. Step 3: Cross multiply
    3,992.32x = 5,988.50 × 1,911.84
  4. Step 4: Simplify right side
    3,992.32x = 11,449,053.84
  5. Step 5: Solve for x
    x = 11,449,053.84/3,992.32
  6. Step 6: Final answer
    x = 2,867.77

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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.