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Finding the Fourth Proportional to 3,725.69, 5,141.57 and 2,047.25

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Solution

The fourth proportional to 3,725.69, 5,141.57 and 2,047.25 is: 2,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.69 : 5,141.57 = 2,047.25 : x
  2. Step 2: Convert to fraction form
    3,725.69/5,141.57 = 2,047.25/x
  3. Step 3: Cross multiply
    3,725.69x = 5,141.57 × 2,047.25
  4. Step 4: Simplify right side
    3,725.69x = 10,526,058.59
  5. Step 5: Solve for x
    x = 10,526,058.59/3,725.69
  6. Step 6: Final answer
    x = 2,825.27

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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.