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Finding the Fourth Proportional to 4,534.72, 6,792 and 3,659.84

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Solution

The fourth proportional to 4,534.72, 6,792 and 3,659.84 is: 5,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.72 : 6,792 = 3,659.84 : x
  2. Step 2: Convert to fraction form
    4,534.72/6,792 = 3,659.84/x
  3. Step 3: Cross multiply
    4,534.72x = 6,792 × 3,659.84
  4. Step 4: Simplify right side
    4,534.72x = 24,857,633.28
  5. Step 5: Solve for x
    x = 24,857,633.28/4,534.72
  6. Step 6: Final answer
    x = 5,481.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.