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Finding the Fourth Proportional to 3,686.35, 5,080.02 and 3,057.79

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Solution

The fourth proportional to 3,686.35, 5,080.02 and 3,057.79 is: 4,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.35 : 5,080.02 = 3,057.79 : x
  2. Step 2: Convert to fraction form
    3,686.35/5,080.02 = 3,057.79/x
  3. Step 3: Cross multiply
    3,686.35x = 5,080.02 × 3,057.79
  4. Step 4: Simplify right side
    3,686.35x = 15,533,634.36
  5. Step 5: Solve for x
    x = 15,533,634.36/3,686.35
  6. Step 6: Final answer
    x = 4,213.83

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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.