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Finding the Fourth Proportional to 5,356, 7,391.52 and 2,965.98

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Solution

The fourth proportional to 5,356, 7,391.52 and 2,965.98 is: 4,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356 : 7,391.52 = 2,965.98 : x
  2. Step 2: Convert to fraction form
    5,356/7,391.52 = 2,965.98/x
  3. Step 3: Cross multiply
    5,356x = 7,391.52 × 2,965.98
  4. Step 4: Simplify right side
    5,356x = 21,923,100.49
  5. Step 5: Solve for x
    x = 21,923,100.49/5,356
  6. Step 6: Final answer
    x = 4,093.19

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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.