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Finding the Fourth Proportional to 4,738.65, 7,107.93 and 1,451.73

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Solution

The fourth proportional to 4,738.65, 7,107.93 and 1,451.73 is: 2,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.65 : 7,107.93 = 1,451.73 : x
  2. Step 2: Convert to fraction form
    4,738.65/7,107.93 = 1,451.73/x
  3. Step 3: Cross multiply
    4,738.65x = 7,107.93 × 1,451.73
  4. Step 4: Simplify right side
    4,738.65x = 10,318,795.22
  5. Step 5: Solve for x
    x = 10,318,795.22/4,738.65
  6. Step 6: Final answer
    x = 2,177.58

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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.