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Finding the Fourth Proportional to 3,757.86, 5,185.62 and 2,341.44

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Solution

The fourth proportional to 3,757.86, 5,185.62 and 2,341.44 is: 3,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.86 : 5,185.62 = 2,341.44 : x
  2. Step 2: Convert to fraction form
    3,757.86/5,185.62 = 2,341.44/x
  3. Step 3: Cross multiply
    3,757.86x = 5,185.62 × 2,341.44
  4. Step 4: Simplify right side
    3,757.86x = 12,141,818.09
  5. Step 5: Solve for x
    x = 12,141,818.09/3,757.86
  6. Step 6: Final answer
    x = 3,231.05

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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.