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Finding the Fourth Proportional to 3,393.09, 5,089.46 and 927.90

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Solution

The fourth proportional to 3,393.09, 5,089.46 and 927.90 is: 1,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.09 : 5,089.46 = 927.90 : x
  2. Step 2: Convert to fraction form
    3,393.09/5,089.46 = 927.90/x
  3. Step 3: Cross multiply
    3,393.09x = 5,089.46 × 927.90
  4. Step 4: Simplify right side
    3,393.09x = 4,722,505.29
  5. Step 5: Solve for x
    x = 4,722,505.29/3,393.09
  6. Step 6: Final answer
    x = 1,391.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.