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Finding the Fourth Proportional to 5,747.55, 7,929.54 and 3,759.24

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Solution

The fourth proportional to 5,747.55, 7,929.54 and 3,759.24 is: 5,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.55 : 7,929.54 = 3,759.24 : x
  2. Step 2: Convert to fraction form
    5,747.55/7,929.54 = 3,759.24/x
  3. Step 3: Cross multiply
    5,747.55x = 7,929.54 × 3,759.24
  4. Step 4: Simplify right side
    5,747.55x = 29,809,043.95
  5. Step 5: Solve for x
    x = 29,809,043.95/5,747.55
  6. Step 6: Final answer
    x = 5,186.39

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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.