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Finding the Fourth Proportional to 4,163.92, 5,746.28 and 2,300.96

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Solution

The fourth proportional to 4,163.92, 5,746.28 and 2,300.96 is: 3,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.92 : 5,746.28 = 2,300.96 : x
  2. Step 2: Convert to fraction form
    4,163.92/5,746.28 = 2,300.96/x
  3. Step 3: Cross multiply
    4,163.92x = 5,746.28 × 2,300.96
  4. Step 4: Simplify right side
    4,163.92x = 13,221,960.43
  5. Step 5: Solve for x
    x = 13,221,960.43/4,163.92
  6. Step 6: Final answer
    x = 3,175.36

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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.