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Finding the Fourth Proportional to 3,838.28, 5,749.86 and 3,568.28

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Solution

The fourth proportional to 3,838.28, 5,749.86 and 3,568.28 is: 5,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.28 : 5,749.86 = 3,568.28 : x
  2. Step 2: Convert to fraction form
    3,838.28/5,749.86 = 3,568.28/x
  3. Step 3: Cross multiply
    3,838.28x = 5,749.86 × 3,568.28
  4. Step 4: Simplify right side
    3,838.28x = 20,517,110.44
  5. Step 5: Solve for x
    x = 20,517,110.44/3,838.28
  6. Step 6: Final answer
    x = 5,345.39

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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.