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Finding the Fourth Proportional to 3,800.69, 5,246.21 and 2,228.75

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Solution

The fourth proportional to 3,800.69, 5,246.21 and 2,228.75 is: 3,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.69 : 5,246.21 = 2,228.75 : x
  2. Step 2: Convert to fraction form
    3,800.69/5,246.21 = 2,228.75/x
  3. Step 3: Cross multiply
    3,800.69x = 5,246.21 × 2,228.75
  4. Step 4: Simplify right side
    3,800.69x = 11,692,479.39
  5. Step 5: Solve for x
    x = 11,692,479.39/3,800.69
  6. Step 6: Final answer
    x = 3,076.41

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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.