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Finding the Fourth Proportional to 3,698.19, 5,103.52 and 2,019.64

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Solution

The fourth proportional to 3,698.19, 5,103.52 and 2,019.64 is: 2,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.19 : 5,103.52 = 2,019.64 : x
  2. Step 2: Convert to fraction form
    3,698.19/5,103.52 = 2,019.64/x
  3. Step 3: Cross multiply
    3,698.19x = 5,103.52 × 2,019.64
  4. Step 4: Simplify right side
    3,698.19x = 10,307,273.13
  5. Step 5: Solve for x
    x = 10,307,273.13/3,698.19
  6. Step 6: Final answer
    x = 2,787.11

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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.