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Finding the Fourth Proportional to 3,480.36, 5,221.14 and 1,838.28

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Solution

The fourth proportional to 3,480.36, 5,221.14 and 1,838.28 is: 2,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.36 : 5,221.14 = 1,838.28 : x
  2. Step 2: Convert to fraction form
    3,480.36/5,221.14 = 1,838.28/x
  3. Step 3: Cross multiply
    3,480.36x = 5,221.14 × 1,838.28
  4. Step 4: Simplify right side
    3,480.36x = 9,597,917.24
  5. Step 5: Solve for x
    x = 9,597,917.24/3,480.36
  6. Step 6: Final answer
    x = 2,757.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.