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Finding the Fourth Proportional to 5,297.64, 7,310.64 and 2,939.73

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Solution

The fourth proportional to 5,297.64, 7,310.64 and 2,939.73 is: 4,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.64 : 7,310.64 = 2,939.73 : x
  2. Step 2: Convert to fraction form
    5,297.64/7,310.64 = 2,939.73/x
  3. Step 3: Cross multiply
    5,297.64x = 7,310.64 × 2,939.73
  4. Step 4: Simplify right side
    5,297.64x = 21,491,307.73
  5. Step 5: Solve for x
    x = 21,491,307.73/5,297.64
  6. Step 6: Final answer
    x = 4,056.77

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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.