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Finding the Fourth Proportional to 3,249.93, 4,876.75 and 3,223.50

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Solution

The fourth proportional to 3,249.93, 4,876.75 and 3,223.50 is: 4,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.93 : 4,876.75 = 3,223.50 : x
  2. Step 2: Convert to fraction form
    3,249.93/4,876.75 = 3,223.50/x
  3. Step 3: Cross multiply
    3,249.93x = 4,876.75 × 3,223.50
  4. Step 4: Simplify right side
    3,249.93x = 15,720,203.63
  5. Step 5: Solve for x
    x = 15,720,203.63/3,249.93
  6. Step 6: Final answer
    x = 4,837.09

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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.