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Finding the Fourth Proportional to 3,684.52, 5,084.24 and 2,192.14

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Solution

The fourth proportional to 3,684.52, 5,084.24 and 2,192.14 is: 3,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.52 : 5,084.24 = 2,192.14 : x
  2. Step 2: Convert to fraction form
    3,684.52/5,084.24 = 2,192.14/x
  3. Step 3: Cross multiply
    3,684.52x = 5,084.24 × 2,192.14
  4. Step 4: Simplify right side
    3,684.52x = 11,145,329.49
  5. Step 5: Solve for x
    x = 11,145,329.49/3,684.52
  6. Step 6: Final answer
    x = 3,024.91

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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.