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Finding the Fourth Proportional to 3,698.03, 5,103.38 and 2,019.47

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Solution

The fourth proportional to 3,698.03, 5,103.38 and 2,019.47 is: 2,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.03 : 5,103.38 = 2,019.47 : x
  2. Step 2: Convert to fraction form
    3,698.03/5,103.38 = 2,019.47/x
  3. Step 3: Cross multiply
    3,698.03x = 5,103.38 × 2,019.47
  4. Step 4: Simplify right side
    3,698.03x = 10,306,122.81
  5. Step 5: Solve for x
    x = 10,306,122.81/3,698.03
  6. Step 6: Final answer
    x = 2,786.92

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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.