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Finding the Fourth Proportional to 3,850.48, 5,309.22 and 3,289.24

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Solution

The fourth proportional to 3,850.48, 5,309.22 and 3,289.24 is: 4,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.48 : 5,309.22 = 3,289.24 : x
  2. Step 2: Convert to fraction form
    3,850.48/5,309.22 = 3,289.24/x
  3. Step 3: Cross multiply
    3,850.48x = 5,309.22 × 3,289.24
  4. Step 4: Simplify right side
    3,850.48x = 17,463,298.79
  5. Step 5: Solve for x
    x = 17,463,298.79/3,850.48
  6. Step 6: Final answer
    x = 4,535.36

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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.