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Finding the Fourth Proportional to 3,974.70, 5,489.10 and 3,304.92

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Solution

The fourth proportional to 3,974.70, 5,489.10 and 3,304.92 is: 4,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.70 : 5,489.10 = 3,304.92 : x
  2. Step 2: Convert to fraction form
    3,974.70/5,489.10 = 3,304.92/x
  3. Step 3: Cross multiply
    3,974.70x = 5,489.10 × 3,304.92
  4. Step 4: Simplify right side
    3,974.70x = 18,141,036.37
  5. Step 5: Solve for x
    x = 18,141,036.37/3,974.70
  6. Step 6: Final answer
    x = 4,564.13

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1.5x scale

Why These Related Problems?

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