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Finding the Fourth Proportional to 3,847.96, 5,739.53 and 3,224.44

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Solution

The fourth proportional to 3,847.96, 5,739.53 and 3,224.44 is: 4,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.96 : 5,739.53 = 3,224.44 : x
  2. Step 2: Convert to fraction form
    3,847.96/5,739.53 = 3,224.44/x
  3. Step 3: Cross multiply
    3,847.96x = 5,739.53 × 3,224.44
  4. Step 4: Simplify right side
    3,847.96x = 18,506,770.11
  5. Step 5: Solve for x
    x = 18,506,770.11/3,847.96
  6. Step 6: Final answer
    x = 4,809.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.