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Finding the Fourth Proportional to 3,758.88, 5,186.78 and 2,080.08

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Solution

The fourth proportional to 3,758.88, 5,186.78 and 2,080.08 is: 2,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.88 : 5,186.78 = 2,080.08 : x
  2. Step 2: Convert to fraction form
    3,758.88/5,186.78 = 2,080.08/x
  3. Step 3: Cross multiply
    3,758.88x = 5,186.78 × 2,080.08
  4. Step 4: Simplify right side
    3,758.88x = 10,788,917.34
  5. Step 5: Solve for x
    x = 10,788,917.34/3,758.88
  6. Step 6: Final answer
    x = 2,870.25

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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.