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Finding the Fourth Proportional to 3,698.26, 5,103.55 and 2,019.66

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Solution

The fourth proportional to 3,698.26, 5,103.55 and 2,019.66 is: 2,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.26 : 5,103.55 = 2,019.66 : x
  2. Step 2: Convert to fraction form
    3,698.26/5,103.55 = 2,019.66/x
  3. Step 3: Cross multiply
    3,698.26x = 5,103.55 × 2,019.66
  4. Step 4: Simplify right side
    3,698.26x = 10,307,410.28
  5. Step 5: Solve for x
    x = 10,307,410.28/3,698.26
  6. Step 6: Final answer
    x = 2,787.10

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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.