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Finding the Fourth Proportional to 4,633.24, 6,945 and 3,398.80

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Solution

The fourth proportional to 4,633.24, 6,945 and 3,398.80 is: 5,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.24 : 6,945 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    4,633.24/6,945 = 3,398.80/x
  3. Step 3: Cross multiply
    4,633.24x = 6,945 × 3,398.80
  4. Step 4: Simplify right side
    4,633.24x = 23,604,666
  5. Step 5: Solve for x
    x = 23,604,666/4,633.24
  6. Step 6: Final answer
    x = 5,094.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.