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Finding the Fourth Proportional to 3,966.92, 5,474.22 and 2,394.74

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Solution

The fourth proportional to 3,966.92, 5,474.22 and 2,394.74 is: 3,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.92 : 5,474.22 = 2,394.74 : x
  2. Step 2: Convert to fraction form
    3,966.92/5,474.22 = 2,394.74/x
  3. Step 3: Cross multiply
    3,966.92x = 5,474.22 × 2,394.74
  4. Step 4: Simplify right side
    3,966.92x = 13,109,333.60
  5. Step 5: Solve for x
    x = 13,109,333.60/3,966.92
  6. Step 6: Final answer
    x = 3,304.66

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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.