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Finding the Fourth Proportional to 3,953.50, 5,456.31 and 2,297.50

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Solution

The fourth proportional to 3,953.50, 5,456.31 and 2,297.50 is: 3,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.50 : 5,456.31 = 2,297.50 : x
  2. Step 2: Convert to fraction form
    3,953.50/5,456.31 = 2,297.50/x
  3. Step 3: Cross multiply
    3,953.50x = 5,456.31 × 2,297.50
  4. Step 4: Simplify right side
    3,953.50x = 12,535,872.23
  5. Step 5: Solve for x
    x = 12,535,872.23/3,953.50
  6. Step 6: Final answer
    x = 3,170.83

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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.