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Finding the Fourth Proportional to 3,233.95, 4,822.63 and 3,204.39

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Solution

The fourth proportional to 3,233.95, 4,822.63 and 3,204.39 is: 4,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.95 : 4,822.63 = 3,204.39 : x
  2. Step 2: Convert to fraction form
    3,233.95/4,822.63 = 3,204.39/x
  3. Step 3: Cross multiply
    3,233.95x = 4,822.63 × 3,204.39
  4. Step 4: Simplify right side
    3,233.95x = 15,453,583.38
  5. Step 5: Solve for x
    x = 15,453,583.38/3,233.95
  6. Step 6: Final answer
    x = 4,778.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.