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Finding the Fourth Proportional to 3,965.63, 5,473.04 and 2,287.44

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Solution

The fourth proportional to 3,965.63, 5,473.04 and 2,287.44 is: 3,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.63 : 5,473.04 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    3,965.63/5,473.04 = 2,287.44/x
  3. Step 3: Cross multiply
    3,965.63x = 5,473.04 × 2,287.44
  4. Step 4: Simplify right side
    3,965.63x = 12,519,239.18
  5. Step 5: Solve for x
    x = 12,519,239.18/3,965.63
  6. Step 6: Final answer
    x = 3,156.94

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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.