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Finding the Fourth Proportional to 4,163.20, 5,746.09 and 4,031.47

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Solution

The fourth proportional to 4,163.20, 5,746.09 and 4,031.47 is: 5,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.20 : 5,746.09 = 4,031.47 : x
  2. Step 2: Convert to fraction form
    4,163.20/5,746.09 = 4,031.47/x
  3. Step 3: Cross multiply
    4,163.20x = 5,746.09 × 4,031.47
  4. Step 4: Simplify right side
    4,163.20x = 23,165,194.12
  5. Step 5: Solve for x
    x = 23,165,194.12/4,163.20
  6. Step 6: Final answer
    x = 5,564.28

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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.