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Finding the Fourth Proportional to 3,789.39, 5,228.52 and 2,297.28

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Solution

The fourth proportional to 3,789.39, 5,228.52 and 2,297.28 is: 3,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.39 : 5,228.52 = 2,297.28 : x
  2. Step 2: Convert to fraction form
    3,789.39/5,228.52 = 2,297.28/x
  3. Step 3: Cross multiply
    3,789.39x = 5,228.52 × 2,297.28
  4. Step 4: Simplify right side
    3,789.39x = 12,011,374.43
  5. Step 5: Solve for x
    x = 12,011,374.43/3,789.39
  6. Step 6: Final answer
    x = 3,169.74

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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.