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Finding the Fourth Proportional to 4,735.56, 6,535.06 and 2,747.27

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Solution

The fourth proportional to 4,735.56, 6,535.06 and 2,747.27 is: 3,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 6,535.06 = 2,747.27 : x
  2. Step 2: Convert to fraction form
    4,735.56/6,535.06 = 2,747.27/x
  3. Step 3: Cross multiply
    4,735.56x = 6,535.06 × 2,747.27
  4. Step 4: Simplify right side
    4,735.56x = 17,953,574.29
  5. Step 5: Solve for x
    x = 17,953,574.29/4,735.56
  6. Step 6: Final answer
    x = 3,791.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.