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Finding the Fourth Proportional to 5,555.97, 7,667.32 and 3,764

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Solution

The fourth proportional to 5,555.97, 7,667.32 and 3,764 is: 5,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.97 : 7,667.32 = 3,764 : x
  2. Step 2: Convert to fraction form
    5,555.97/7,667.32 = 3,764/x
  3. Step 3: Cross multiply
    5,555.97x = 7,667.32 × 3,764
  4. Step 4: Simplify right side
    5,555.97x = 28,859,792.48
  5. Step 5: Solve for x
    x = 28,859,792.48/5,555.97
  6. Step 6: Final answer
    x = 5,194.38

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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.