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Finding the Fourth Proportional to 3,251.72, 4,486.74 and 2,629.64

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Solution

The fourth proportional to 3,251.72, 4,486.74 and 2,629.64 is: 3,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.72 : 4,486.74 = 2,629.64 : x
  2. Step 2: Convert to fraction form
    3,251.72/4,486.74 = 2,629.64/x
  3. Step 3: Cross multiply
    3,251.72x = 4,486.74 × 2,629.64
  4. Step 4: Simplify right side
    3,251.72x = 11,798,510.97
  5. Step 5: Solve for x
    x = 11,798,510.97/3,251.72
  6. Step 6: Final answer
    x = 3,628.39

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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.