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Finding the Fourth Proportional to 4,199.58, 5,781.60 and 3,991.77

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Solution

The fourth proportional to 4,199.58, 5,781.60 and 3,991.77 is: 5,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.58 : 5,781.60 = 3,991.77 : x
  2. Step 2: Convert to fraction form
    4,199.58/5,781.60 = 3,991.77/x
  3. Step 3: Cross multiply
    4,199.58x = 5,781.60 × 3,991.77
  4. Step 4: Simplify right side
    4,199.58x = 23,078,817.43
  5. Step 5: Solve for x
    x = 23,078,817.43/4,199.58
  6. Step 6: Final answer
    x = 5,495.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.