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Finding the Fourth Proportional to 5,356.57, 7,391 and 3,365.97

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Solution

The fourth proportional to 5,356.57, 7,391 and 3,365.97 is: 4,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.57 : 7,391 = 3,365.97 : x
  2. Step 2: Convert to fraction form
    5,356.57/7,391 = 3,365.97/x
  3. Step 3: Cross multiply
    5,356.57x = 7,391 × 3,365.97
  4. Step 4: Simplify right side
    5,356.57x = 24,877,884.27
  5. Step 5: Solve for x
    x = 24,877,884.27/5,356.57
  6. Step 6: Final answer
    x = 4,644.37

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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.