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Finding the Fourth Proportional to 3,892.04, 5,838.05 and 1,294.97

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Solution

The fourth proportional to 3,892.04, 5,838.05 and 1,294.97 is: 1,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.04 : 5,838.05 = 1,294.97 : x
  2. Step 2: Convert to fraction form
    3,892.04/5,838.05 = 1,294.97/x
  3. Step 3: Cross multiply
    3,892.04x = 5,838.05 × 1,294.97
  4. Step 4: Simplify right side
    3,892.04x = 7,560,063.94
  5. Step 5: Solve for x
    x = 7,560,063.94/3,892.04
  6. Step 6: Final answer
    x = 1,942.45

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1.5x scale

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.