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Finding the Fourth Proportional to 4,736.21, 6,535.21 and 2,746.38

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Solution

The fourth proportional to 4,736.21, 6,535.21 and 2,746.38 is: 3,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.21 : 6,535.21 = 2,746.38 : x
  2. Step 2: Convert to fraction form
    4,736.21/6,535.21 = 2,746.38/x
  3. Step 3: Cross multiply
    4,736.21x = 6,535.21 × 2,746.38
  4. Step 4: Simplify right side
    4,736.21x = 17,948,170.04
  5. Step 5: Solve for x
    x = 17,948,170.04/4,736.21
  6. Step 6: Final answer
    x = 3,789.56

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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.