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Finding the Fourth Proportional to 3,841.16, 5,763.54 and 1,991.27

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Solution

The fourth proportional to 3,841.16, 5,763.54 and 1,991.27 is: 2,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.16 : 5,763.54 = 1,991.27 : x
  2. Step 2: Convert to fraction form
    3,841.16/5,763.54 = 1,991.27/x
  3. Step 3: Cross multiply
    3,841.16x = 5,763.54 × 1,991.27
  4. Step 4: Simplify right side
    3,841.16x = 11,476,742.55
  5. Step 5: Solve for x
    x = 11,476,742.55/3,841.16
  6. Step 6: Final answer
    x = 2,987.84

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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.