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Finding the Fourth Proportional to 3,789.94, 5,230.38 and 2,297.92

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Solution

The fourth proportional to 3,789.94, 5,230.38 and 2,297.92 is: 3,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.94 : 5,230.38 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    3,789.94/5,230.38 = 2,297.92/x
  3. Step 3: Cross multiply
    3,789.94x = 5,230.38 × 2,297.92
  4. Step 4: Simplify right side
    3,789.94x = 12,018,994.81
  5. Step 5: Solve for x
    x = 12,018,994.81/3,789.94
  6. Step 6: Final answer
    x = 3,171.29

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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.