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Finding the Fourth Proportional to 4,165.94, 5,743.77 and 2,671.22

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Solution

The fourth proportional to 4,165.94, 5,743.77 and 2,671.22 is: 3,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.94 : 5,743.77 = 2,671.22 : x
  2. Step 2: Convert to fraction form
    4,165.94/5,743.77 = 2,671.22/x
  3. Step 3: Cross multiply
    4,165.94x = 5,743.77 × 2,671.22
  4. Step 4: Simplify right side
    4,165.94x = 15,342,873.30
  5. Step 5: Solve for x
    x = 15,342,873.30/4,165.94
  6. Step 6: Final answer
    x = 3,682.93

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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.