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Finding the Fourth Proportional to 5,087.94, 7,629.03 and 3,141.06

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Solution

The fourth proportional to 5,087.94, 7,629.03 and 3,141.06 is: 4,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.94 : 7,629.03 = 3,141.06 : x
  2. Step 2: Convert to fraction form
    5,087.94/7,629.03 = 3,141.06/x
  3. Step 3: Cross multiply
    5,087.94x = 7,629.03 × 3,141.06
  4. Step 4: Simplify right side
    5,087.94x = 23,963,240.97
  5. Step 5: Solve for x
    x = 23,963,240.97/5,087.94
  6. Step 6: Final answer
    x = 4,709.81

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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.