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Finding the Fourth Proportional to 3,725.97, 5,142.02 and 2,234.94

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Solution

The fourth proportional to 3,725.97, 5,142.02 and 2,234.94 is: 3,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.97 : 5,142.02 = 2,234.94 : x
  2. Step 2: Convert to fraction form
    3,725.97/5,142.02 = 2,234.94/x
  3. Step 3: Cross multiply
    3,725.97x = 5,142.02 × 2,234.94
  4. Step 4: Simplify right side
    3,725.97x = 11,492,095.00
  5. Step 5: Solve for x
    x = 11,492,095.00/3,725.97
  6. Step 6: Final answer
    x = 3,084.32

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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.