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Finding the Fourth Proportional to 5,642.72, 8,477.17 and 3,540.80

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Solution

The fourth proportional to 5,642.72, 8,477.17 and 3,540.80 is: 5,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.72 : 8,477.17 = 3,540.80 : x
  2. Step 2: Convert to fraction form
    5,642.72/8,477.17 = 3,540.80/x
  3. Step 3: Cross multiply
    5,642.72x = 8,477.17 × 3,540.80
  4. Step 4: Simplify right side
    5,642.72x = 30,015,963.54
  5. Step 5: Solve for x
    x = 30,015,963.54/5,642.72
  6. Step 6: Final answer
    x = 5,319.41

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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.