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Finding the Fourth Proportional to 4,736, 6,535.68 and 2,640.32

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Solution

The fourth proportional to 4,736, 6,535.68 and 2,640.32 is: 3,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736 : 6,535.68 = 2,640.32 : x
  2. Step 2: Convert to fraction form
    4,736/6,535.68 = 2,640.32/x
  3. Step 3: Cross multiply
    4,736x = 6,535.68 × 2,640.32
  4. Step 4: Simplify right side
    4,736x = 17,256,286.62
  5. Step 5: Solve for x
    x = 17,256,286.62/4,736
  6. Step 6: Final answer
    x = 3,643.64

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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.