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Finding the Fourth Proportional to 4,933.96, 6,805.74 and 3,752.44

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Solution

The fourth proportional to 4,933.96, 6,805.74 and 3,752.44 is: 5,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.96 : 6,805.74 = 3,752.44 : x
  2. Step 2: Convert to fraction form
    4,933.96/6,805.74 = 3,752.44/x
  3. Step 3: Cross multiply
    4,933.96x = 6,805.74 × 3,752.44
  4. Step 4: Simplify right side
    4,933.96x = 25,538,131.01
  5. Step 5: Solve for x
    x = 25,538,131.01/4,933.96
  6. Step 6: Final answer
    x = 5,175.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.