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Finding the Fourth Proportional to 3,698.01, 5,103.18 and 2,019.34

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Solution

The fourth proportional to 3,698.01, 5,103.18 and 2,019.34 is: 2,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.01 : 5,103.18 = 2,019.34 : x
  2. Step 2: Convert to fraction form
    3,698.01/5,103.18 = 2,019.34/x
  3. Step 3: Cross multiply
    3,698.01x = 5,103.18 × 2,019.34
  4. Step 4: Simplify right side
    3,698.01x = 10,305,055.50
  5. Step 5: Solve for x
    x = 10,305,055.50/3,698.01
  6. Step 6: Final answer
    x = 2,786.65

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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.