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Finding the Fourth Proportional to 3,725.16, 5,127.84 and 3,220.77

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Solution

The fourth proportional to 3,725.16, 5,127.84 and 3,220.77 is: 4,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.16 : 5,127.84 = 3,220.77 : x
  2. Step 2: Convert to fraction form
    3,725.16/5,127.84 = 3,220.77/x
  3. Step 3: Cross multiply
    3,725.16x = 5,127.84 × 3,220.77
  4. Step 4: Simplify right side
    3,725.16x = 16,515,593.24
  5. Step 5: Solve for x
    x = 16,515,593.24/3,725.16
  6. Step 6: Final answer
    x = 4,433.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.