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Finding the Fourth Proportional to 5,222.98, 7,832.16 and 2,447.41

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Solution

The fourth proportional to 5,222.98, 7,832.16 and 2,447.41 is: 3,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.98 : 7,832.16 = 2,447.41 : x
  2. Step 2: Convert to fraction form
    5,222.98/7,832.16 = 2,447.41/x
  3. Step 3: Cross multiply
    5,222.98x = 7,832.16 × 2,447.41
  4. Step 4: Simplify right side
    5,222.98x = 19,168,487.13
  5. Step 5: Solve for x
    x = 19,168,487.13/5,222.98
  6. Step 6: Final answer
    x = 3,670.03

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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.