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Finding the Fourth Proportional to 5,755.48, 7,942.24 and 3,203.12

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Solution

The fourth proportional to 5,755.48, 7,942.24 and 3,203.12 is: 4,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.48 : 7,942.24 = 3,203.12 : x
  2. Step 2: Convert to fraction form
    5,755.48/7,942.24 = 3,203.12/x
  3. Step 3: Cross multiply
    5,755.48x = 7,942.24 × 3,203.12
  4. Step 4: Simplify right side
    5,755.48x = 25,439,947.79
  5. Step 5: Solve for x
    x = 25,439,947.79/5,755.48
  6. Step 6: Final answer
    x = 4,420.13

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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.