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Finding the Fourth Proportional to 5,233.39, 7,849.28 and 4,944.22

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Solution

The fourth proportional to 5,233.39, 7,849.28 and 4,944.22 is: 7,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.39 : 7,849.28 = 4,944.22 : x
  2. Step 2: Convert to fraction form
    5,233.39/7,849.28 = 4,944.22/x
  3. Step 3: Cross multiply
    5,233.39x = 7,849.28 × 4,944.22
  4. Step 4: Simplify right side
    5,233.39x = 38,808,542.44
  5. Step 5: Solve for x
    x = 38,808,542.44/5,233.39
  6. Step 6: Final answer
    x = 7,415.56

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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.