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Finding the Fourth Proportional to 3,758.99, 5,186.94 and 2,080.40

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Solution

The fourth proportional to 3,758.99, 5,186.94 and 2,080.40 is: 2,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.99 : 5,186.94 = 2,080.40 : x
  2. Step 2: Convert to fraction form
    3,758.99/5,186.94 = 2,080.40/x
  3. Step 3: Cross multiply
    3,758.99x = 5,186.94 × 2,080.40
  4. Step 4: Simplify right side
    3,758.99x = 10,790,884.04
  5. Step 5: Solve for x
    x = 10,790,884.04/3,758.99
  6. Step 6: Final answer
    x = 2,870.69

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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.