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Finding the Fourth Proportional to 3,992.01, 5,988.96 and 1,911.42

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Solution

The fourth proportional to 3,992.01, 5,988.96 and 1,911.42 is: 2,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.01 : 5,988.96 = 1,911.42 : x
  2. Step 2: Convert to fraction form
    3,992.01/5,988.96 = 1,911.42/x
  3. Step 3: Cross multiply
    3,992.01x = 5,988.96 × 1,911.42
  4. Step 4: Simplify right side
    3,992.01x = 11,447,417.92
  5. Step 5: Solve for x
    x = 11,447,417.92/3,992.01
  6. Step 6: Final answer
    x = 2,867.58

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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.