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Finding the Fourth Proportional to 3,698.46, 5,103.90 and 2,019.83

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Solution

The fourth proportional to 3,698.46, 5,103.90 and 2,019.83 is: 2,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,103.90 = 2,019.83 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,103.90 = 2,019.83/x
  3. Step 3: Cross multiply
    3,698.46x = 5,103.90 × 2,019.83
  4. Step 4: Simplify right side
    3,698.46x = 10,309,009.14
  5. Step 5: Solve for x
    x = 10,309,009.14/3,698.46
  6. Step 6: Final answer
    x = 2,787.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.