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Finding the Fourth Proportional to 3,927.98, 5,892.04 and 3,144.34

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Solution

The fourth proportional to 3,927.98, 5,892.04 and 3,144.34 is: 4,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.98 : 5,892.04 = 3,144.34 : x
  2. Step 2: Convert to fraction form
    3,927.98/5,892.04 = 3,144.34/x
  3. Step 3: Cross multiply
    3,927.98x = 5,892.04 × 3,144.34
  4. Step 4: Simplify right side
    3,927.98x = 18,526,554.46
  5. Step 5: Solve for x
    x = 18,526,554.46/3,927.98
  6. Step 6: Final answer
    x = 4,716.57

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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.