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Finding the Fourth Proportional to 3,964.76, 5,472 and 2,474.30

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Solution

The fourth proportional to 3,964.76, 5,472 and 2,474.30 is: 3,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.76 : 5,472 = 2,474.30 : x
  2. Step 2: Convert to fraction form
    3,964.76/5,472 = 2,474.30/x
  3. Step 3: Cross multiply
    3,964.76x = 5,472 × 2,474.30
  4. Step 4: Simplify right side
    3,964.76x = 13,539,369.60
  5. Step 5: Solve for x
    x = 13,539,369.60/3,964.76
  6. Step 6: Final answer
    x = 3,414.93

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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.