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Finding the Fourth Proportional to 3,694.97, 5,099.69 and 3,528.89

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Solution

The fourth proportional to 3,694.97, 5,099.69 and 3,528.89 is: 4,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.97 : 5,099.69 = 3,528.89 : x
  2. Step 2: Convert to fraction form
    3,694.97/5,099.69 = 3,528.89/x
  3. Step 3: Cross multiply
    3,694.97x = 5,099.69 × 3,528.89
  4. Step 4: Simplify right side
    3,694.97x = 17,996,201.90
  5. Step 5: Solve for x
    x = 17,996,201.90/3,694.97
  6. Step 6: Final answer
    x = 4,870.47

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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.