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Finding the Fourth Proportional to 5,537.75, 7,642.10 and 3,180.05

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Solution

The fourth proportional to 5,537.75, 7,642.10 and 3,180.05 is: 4,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.75 : 7,642.10 = 3,180.05 : x
  2. Step 2: Convert to fraction form
    5,537.75/7,642.10 = 3,180.05/x
  3. Step 3: Cross multiply
    5,537.75x = 7,642.10 × 3,180.05
  4. Step 4: Simplify right side
    5,537.75x = 24,302,205.99
  5. Step 5: Solve for x
    x = 24,302,205.99/5,537.75
  6. Step 6: Final answer
    x = 4,388.46

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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.