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Finding the Fourth Proportional to 3,201, 4,781.96 and 2,552.48

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Solution

The fourth proportional to 3,201, 4,781.96 and 2,552.48 is: 3,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 4,781.96 = 2,552.48 : x
  2. Step 2: Convert to fraction form
    3,201/4,781.96 = 2,552.48/x
  3. Step 3: Cross multiply
    3,201x = 4,781.96 × 2,552.48
  4. Step 4: Simplify right side
    3,201x = 12,205,857.26
  5. Step 5: Solve for x
    x = 12,205,857.26/3,201
  6. Step 6: Final answer
    x = 3,813.14

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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.