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Finding the Fourth Proportional to 4,174.54, 5,760 and 2,405.68

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Solution

The fourth proportional to 4,174.54, 5,760 and 2,405.68 is: 3,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.54 : 5,760 = 2,405.68 : x
  2. Step 2: Convert to fraction form
    4,174.54/5,760 = 2,405.68/x
  3. Step 3: Cross multiply
    4,174.54x = 5,760 × 2,405.68
  4. Step 4: Simplify right side
    4,174.54x = 13,856,716.80
  5. Step 5: Solve for x
    x = 13,856,716.80/4,174.54
  6. Step 6: Final answer
    x = 3,319.34

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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.