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Finding the Fourth Proportional to 3,662.77, 5,054.38 and 2,265.25

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Solution

The fourth proportional to 3,662.77, 5,054.38 and 2,265.25 is: 3,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.77 : 5,054.38 = 2,265.25 : x
  2. Step 2: Convert to fraction form
    3,662.77/5,054.38 = 2,265.25/x
  3. Step 3: Cross multiply
    3,662.77x = 5,054.38 × 2,265.25
  4. Step 4: Simplify right side
    3,662.77x = 11,449,434.30
  5. Step 5: Solve for x
    x = 11,449,434.30/3,662.77
  6. Step 6: Final answer
    x = 3,125.89

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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.