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Finding the Fourth Proportional to 3,758.84, 5,187.22 and 2,080.30

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Solution

The fourth proportional to 3,758.84, 5,187.22 and 2,080.30 is: 2,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.84 : 5,187.22 = 2,080.30 : x
  2. Step 2: Convert to fraction form
    3,758.84/5,187.22 = 2,080.30/x
  3. Step 3: Cross multiply
    3,758.84x = 5,187.22 × 2,080.30
  4. Step 4: Simplify right side
    3,758.84x = 10,790,973.77
  5. Step 5: Solve for x
    x = 10,790,973.77/3,758.84
  6. Step 6: Final answer
    x = 2,870.83

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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.