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Finding the Fourth Proportional to 5,537.80, 7,642.02 and 3,179.80

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Solution

The fourth proportional to 5,537.80, 7,642.02 and 3,179.80 is: 4,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.80 : 7,642.02 = 3,179.80 : x
  2. Step 2: Convert to fraction form
    5,537.80/7,642.02 = 3,179.80/x
  3. Step 3: Cross multiply
    5,537.80x = 7,642.02 × 3,179.80
  4. Step 4: Simplify right side
    5,537.80x = 24,300,095.20
  5. Step 5: Solve for x
    x = 24,300,095.20/5,537.80
  6. Step 6: Final answer
    x = 4,388.04

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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.