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Finding the Fourth Proportional to 3,694.16, 5,098.02 and 2,015.60

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Solution

The fourth proportional to 3,694.16, 5,098.02 and 2,015.60 is: 2,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.16 : 5,098.02 = 2,015.60 : x
  2. Step 2: Convert to fraction form
    3,694.16/5,098.02 = 2,015.60/x
  3. Step 3: Cross multiply
    3,694.16x = 5,098.02 × 2,015.60
  4. Step 4: Simplify right side
    3,694.16x = 10,275,569.11
  5. Step 5: Solve for x
    x = 10,275,569.11/3,694.16
  6. Step 6: Final answer
    x = 2,781.57

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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.