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Finding the Fourth Proportional to 5,297.49, 7,310.16 and 2,939.44

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Solution

The fourth proportional to 5,297.49, 7,310.16 and 2,939.44 is: 4,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.49 : 7,310.16 = 2,939.44 : x
  2. Step 2: Convert to fraction form
    5,297.49/7,310.16 = 2,939.44/x
  3. Step 3: Cross multiply
    5,297.49x = 7,310.16 × 2,939.44
  4. Step 4: Simplify right side
    5,297.49x = 21,487,776.71
  5. Step 5: Solve for x
    x = 21,487,776.71/5,297.49
  6. Step 6: Final answer
    x = 4,056.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.