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Finding the Fourth Proportional to 5,297.23, 7,311.05 and 2,940.13

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Solution

The fourth proportional to 5,297.23, 7,311.05 and 2,940.13 is: 4,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.23 : 7,311.05 = 2,940.13 : x
  2. Step 2: Convert to fraction form
    5,297.23/7,311.05 = 2,940.13/x
  3. Step 3: Cross multiply
    5,297.23x = 7,311.05 × 2,940.13
  4. Step 4: Simplify right side
    5,297.23x = 21,495,437.44
  5. Step 5: Solve for x
    x = 21,495,437.44/5,297.23
  6. Step 6: Final answer
    x = 4,057.86

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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.