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Finding the Fourth Proportional to 4,626.74, 6,383 and 3,365.04

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Solution

The fourth proportional to 4,626.74, 6,383 and 3,365.04 is: 4,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.74 : 6,383 = 3,365.04 : x
  2. Step 2: Convert to fraction form
    4,626.74/6,383 = 3,365.04/x
  3. Step 3: Cross multiply
    4,626.74x = 6,383 × 3,365.04
  4. Step 4: Simplify right side
    4,626.74x = 21,479,050.32
  5. Step 5: Solve for x
    x = 21,479,050.32/4,626.74
  6. Step 6: Final answer
    x = 4,642.37

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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.