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Finding the Fourth Proportional to 4,751.42, 7,129.83 and 3,192.17

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Solution

The fourth proportional to 4,751.42, 7,129.83 and 3,192.17 is: 4,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.42 : 7,129.83 = 3,192.17 : x
  2. Step 2: Convert to fraction form
    4,751.42/7,129.83 = 3,192.17/x
  3. Step 3: Cross multiply
    4,751.42x = 7,129.83 × 3,192.17
  4. Step 4: Simplify right side
    4,751.42x = 22,759,629.43
  5. Step 5: Solve for x
    x = 22,759,629.43/4,751.42
  6. Step 6: Final answer
    x = 4,790.07

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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.