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Finding the Fourth Proportional to 5,733, 7,911.66 and 3,249

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Solution

The fourth proportional to 5,733, 7,911.66 and 3,249 is: 4,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 7,911.66 = 3,249 : x
  2. Step 2: Convert to fraction form
    5,733/7,911.66 = 3,249/x
  3. Step 3: Cross multiply
    5,733x = 7,911.66 × 3,249
  4. Step 4: Simplify right side
    5,733x = 25,704,983.34
  5. Step 5: Solve for x
    x = 25,704,983.34/5,733
  6. Step 6: Final answer
    x = 4,483.69

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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.