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Finding the Fourth Proportional to 4,633.26, 6,935.49 and 3,334.38

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Solution

The fourth proportional to 4,633.26, 6,935.49 and 3,334.38 is: 4,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.26 : 6,935.49 = 3,334.38 : x
  2. Step 2: Convert to fraction form
    4,633.26/6,935.49 = 3,334.38/x
  3. Step 3: Cross multiply
    4,633.26x = 6,935.49 × 3,334.38
  4. Step 4: Simplify right side
    4,633.26x = 23,125,559.15
  5. Step 5: Solve for x
    x = 23,125,559.15/4,633.26
  6. Step 6: Final answer
    x = 4,991.21

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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.