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Finding the Fourth Proportional to 4,283.92, 5,920 and 3,092.84

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Solution

The fourth proportional to 4,283.92, 5,920 and 3,092.84 is: 4,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.92 : 5,920 = 3,092.84 : x
  2. Step 2: Convert to fraction form
    4,283.92/5,920 = 3,092.84/x
  3. Step 3: Cross multiply
    4,283.92x = 5,920 × 3,092.84
  4. Step 4: Simplify right side
    4,283.92x = 18,309,612.80
  5. Step 5: Solve for x
    x = 18,309,612.80/4,283.92
  6. Step 6: Final answer
    x = 4,274.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.