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Finding the Fourth Proportional to 3,662.63, 5,053.89 and 2,226.25

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Solution

The fourth proportional to 3,662.63, 5,053.89 and 2,226.25 is: 3,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.63 : 5,053.89 = 2,226.25 : x
  2. Step 2: Convert to fraction form
    3,662.63/5,053.89 = 2,226.25/x
  3. Step 3: Cross multiply
    3,662.63x = 5,053.89 × 2,226.25
  4. Step 4: Simplify right side
    3,662.63x = 11,251,209.98
  5. Step 5: Solve for x
    x = 11,251,209.98/3,662.63
  6. Step 6: Final answer
    x = 3,071.89

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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.