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Finding the Fourth Proportional to 3,789.50, 5,230 and 2,297.98

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Solution

The fourth proportional to 3,789.50, 5,230 and 2,297.98 is: 3,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.50 : 5,230 = 2,297.98 : x
  2. Step 2: Convert to fraction form
    3,789.50/5,230 = 2,297.98/x
  3. Step 3: Cross multiply
    3,789.50x = 5,230 × 2,297.98
  4. Step 4: Simplify right side
    3,789.50x = 12,018,435.40
  5. Step 5: Solve for x
    x = 12,018,435.40/3,789.50
  6. Step 6: Final answer
    x = 3,171.51

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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.