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Finding the Fourth Proportional to 3,694.02, 5,097.73 and 2,038.02

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Solution

The fourth proportional to 3,694.02, 5,097.73 and 2,038.02 is: 2,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.02 : 5,097.73 = 2,038.02 : x
  2. Step 2: Convert to fraction form
    3,694.02/5,097.73 = 2,038.02/x
  3. Step 3: Cross multiply
    3,694.02x = 5,097.73 × 2,038.02
  4. Step 4: Simplify right side
    3,694.02x = 10,389,275.69
  5. Step 5: Solve for x
    x = 10,389,275.69/3,694.02
  6. Step 6: Final answer
    x = 2,812.46

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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.