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Finding the Fourth Proportional to 5,537.84, 7,642.22 and 3,179.97

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Solution

The fourth proportional to 5,537.84, 7,642.22 and 3,179.97 is: 4,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.84 : 7,642.22 = 3,179.97 : x
  2. Step 2: Convert to fraction form
    5,537.84/7,642.22 = 3,179.97/x
  3. Step 3: Cross multiply
    5,537.84x = 7,642.22 × 3,179.97
  4. Step 4: Simplify right side
    5,537.84x = 24,302,014.43
  5. Step 5: Solve for x
    x = 24,302,014.43/5,537.84
  6. Step 6: Final answer
    x = 4,388.36

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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.