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Finding the Fourth Proportional to 3,192.32, 4,793.28 and 3,133.92

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Solution

The fourth proportional to 3,192.32, 4,793.28 and 3,133.92 is: 4,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.32 : 4,793.28 = 3,133.92 : x
  2. Step 2: Convert to fraction form
    3,192.32/4,793.28 = 3,133.92/x
  3. Step 3: Cross multiply
    3,192.32x = 4,793.28 × 3,133.92
  4. Step 4: Simplify right side
    3,192.32x = 15,021,756.06
  5. Step 5: Solve for x
    x = 15,021,756.06/3,192.32
  6. Step 6: Final answer
    x = 4,705.59

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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.