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Finding the Fourth Proportional to 3,532.92, 5,300.17 and 1,192.84

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Solution

The fourth proportional to 3,532.92, 5,300.17 and 1,192.84 is: 1,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.92 : 5,300.17 = 1,192.84 : x
  2. Step 2: Convert to fraction form
    3,532.92/5,300.17 = 1,192.84/x
  3. Step 3: Cross multiply
    3,532.92x = 5,300.17 × 1,192.84
  4. Step 4: Simplify right side
    3,532.92x = 6,322,238.55
  5. Step 5: Solve for x
    x = 6,322,238.55/3,532.92
  6. Step 6: Final answer
    x = 1,789.52

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