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Finding the Fourth Proportional to 5,094.86, 7,031.22 and 2,856.68

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Solution

The fourth proportional to 5,094.86, 7,031.22 and 2,856.68 is: 3,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.86 : 7,031.22 = 2,856.68 : x
  2. Step 2: Convert to fraction form
    5,094.86/7,031.22 = 2,856.68/x
  3. Step 3: Cross multiply
    5,094.86x = 7,031.22 × 2,856.68
  4. Step 4: Simplify right side
    5,094.86x = 20,085,945.55
  5. Step 5: Solve for x
    x = 20,085,945.55/5,094.86
  6. Step 6: Final answer
    x = 3,942.39

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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.