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Finding the Fourth Proportional to 3,758.90, 5,187.24 and 2,080.32

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Solution

The fourth proportional to 3,758.90, 5,187.24 and 2,080.32 is: 2,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.90 : 5,187.24 = 2,080.32 : x
  2. Step 2: Convert to fraction form
    3,758.90/5,187.24 = 2,080.32/x
  3. Step 3: Cross multiply
    3,758.90x = 5,187.24 × 2,080.32
  4. Step 4: Simplify right side
    3,758.90x = 10,791,119.12
  5. Step 5: Solve for x
    x = 10,791,119.12/3,758.90
  6. Step 6: Final answer
    x = 2,870.82

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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.