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Finding the Fourth Proportional to 3,662.97, 5,054.91 and 2,047.87

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Solution

The fourth proportional to 3,662.97, 5,054.91 and 2,047.87 is: 2,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.97 : 5,054.91 = 2,047.87 : x
  2. Step 2: Convert to fraction form
    3,662.97/5,054.91 = 2,047.87/x
  3. Step 3: Cross multiply
    3,662.97x = 5,054.91 × 2,047.87
  4. Step 4: Simplify right side
    3,662.97x = 10,351,798.54
  5. Step 5: Solve for x
    x = 10,351,798.54/3,662.97
  6. Step 6: Final answer
    x = 2,826.07

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Why These Related Problems?

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