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Finding the Fourth Proportional to 3,698.13, 5,103.54 and 2,019.62

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Solution

The fourth proportional to 3,698.13, 5,103.54 and 2,019.62 is: 2,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.13 : 5,103.54 = 2,019.62 : x
  2. Step 2: Convert to fraction form
    3,698.13/5,103.54 = 2,019.62/x
  3. Step 3: Cross multiply
    3,698.13x = 5,103.54 × 2,019.62
  4. Step 4: Simplify right side
    3,698.13x = 10,307,201.36
  5. Step 5: Solve for x
    x = 10,307,201.36/3,698.13
  6. Step 6: Final answer
    x = 2,787.14

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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.