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Finding the Fourth Proportional to 3,842.13, 5,758.52 and 1,992.23

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Solution

The fourth proportional to 3,842.13, 5,758.52 and 1,992.23 is: 2,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.13 : 5,758.52 = 1,992.23 : x
  2. Step 2: Convert to fraction form
    3,842.13/5,758.52 = 1,992.23/x
  3. Step 3: Cross multiply
    3,842.13x = 5,758.52 × 1,992.23
  4. Step 4: Simplify right side
    3,842.13x = 11,472,257.55
  5. Step 5: Solve for x
    x = 11,472,257.55/3,842.13
  6. Step 6: Final answer
    x = 2,985.91

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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.