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Finding the Fourth Proportional to 3,847.72, 5,770.14 and 3,035.56

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Solution

The fourth proportional to 3,847.72, 5,770.14 and 3,035.56 is: 4,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.72 : 5,770.14 = 3,035.56 : x
  2. Step 2: Convert to fraction form
    3,847.72/5,770.14 = 3,035.56/x
  3. Step 3: Cross multiply
    3,847.72x = 5,770.14 × 3,035.56
  4. Step 4: Simplify right side
    3,847.72x = 17,515,606.18
  5. Step 5: Solve for x
    x = 17,515,606.18/3,847.72
  6. Step 6: Final answer
    x = 4,552.20

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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.