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Finding the Fourth Proportional to 4,976.63, 7,463.64 and 2,633.48

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Solution

The fourth proportional to 4,976.63, 7,463.64 and 2,633.48 is: 3,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.63 : 7,463.64 = 2,633.48 : x
  2. Step 2: Convert to fraction form
    4,976.63/7,463.64 = 2,633.48/x
  3. Step 3: Cross multiply
    4,976.63x = 7,463.64 × 2,633.48
  4. Step 4: Simplify right side
    4,976.63x = 19,655,346.67
  5. Step 5: Solve for x
    x = 19,655,346.67/4,976.63
  6. Step 6: Final answer
    x = 3,949.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.