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Finding the Fourth Proportional to 4,975.83, 7,463.75 and 2,201.92

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Solution

The fourth proportional to 4,975.83, 7,463.75 and 2,201.92 is: 3,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.83 : 7,463.75 = 2,201.92 : x
  2. Step 2: Convert to fraction form
    4,975.83/7,463.75 = 2,201.92/x
  3. Step 3: Cross multiply
    4,975.83x = 7,463.75 × 2,201.92
  4. Step 4: Simplify right side
    4,975.83x = 16,434,550.73
  5. Step 5: Solve for x
    x = 16,434,550.73/4,975.83
  6. Step 6: Final answer
    x = 3,302.88

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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.