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Finding the Fourth Proportional to 4,771.41, 7,157.13 and 3,892.98

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Solution

The fourth proportional to 4,771.41, 7,157.13 and 3,892.98 is: 5,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.41 : 7,157.13 = 3,892.98 : x
  2. Step 2: Convert to fraction form
    4,771.41/7,157.13 = 3,892.98/x
  3. Step 3: Cross multiply
    4,771.41x = 7,157.13 × 3,892.98
  4. Step 4: Simplify right side
    4,771.41x = 27,862,563.95
  5. Step 5: Solve for x
    x = 27,862,563.95/4,771.41
  6. Step 6: Final answer
    x = 5,839.48

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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.