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Finding the Fourth Proportional to 3,758.82, 5,187.10 and 2,341.80

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Solution

The fourth proportional to 3,758.82, 5,187.10 and 2,341.80 is: 3,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.82 : 5,187.10 = 2,341.80 : x
  2. Step 2: Convert to fraction form
    3,758.82/5,187.10 = 2,341.80/x
  3. Step 3: Cross multiply
    3,758.82x = 5,187.10 × 2,341.80
  4. Step 4: Simplify right side
    3,758.82x = 12,147,150.78
  5. Step 5: Solve for x
    x = 12,147,150.78/3,758.82
  6. Step 6: Final answer
    x = 3,231.64

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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.