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Finding the Fourth Proportional to 3,758.96, 5,187.25 and 2,080.31

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Solution

The fourth proportional to 3,758.96, 5,187.25 and 2,080.31 is: 2,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.96 : 5,187.25 = 2,080.31 : x
  2. Step 2: Convert to fraction form
    3,758.96/5,187.25 = 2,080.31/x
  3. Step 3: Cross multiply
    3,758.96x = 5,187.25 × 2,080.31
  4. Step 4: Simplify right side
    3,758.96x = 10,791,088.05
  5. Step 5: Solve for x
    x = 10,791,088.05/3,758.96
  6. Step 6: Final answer
    x = 2,870.76

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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.