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Finding the Fourth Proportional to 3,773.49, 5,657.04 and 1,306.73

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Solution

The fourth proportional to 3,773.49, 5,657.04 and 1,306.73 is: 1,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.49 : 5,657.04 = 1,306.73 : x
  2. Step 2: Convert to fraction form
    3,773.49/5,657.04 = 1,306.73/x
  3. Step 3: Cross multiply
    3,773.49x = 5,657.04 × 1,306.73
  4. Step 4: Simplify right side
    3,773.49x = 7,392,238.02
  5. Step 5: Solve for x
    x = 7,392,238.02/3,773.49
  6. Step 6: Final answer
    x = 1,958.99

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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.