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Finding the Fourth Proportional to 6,097.82, 8,420.96 and 5,208.44

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Solution

The fourth proportional to 6,097.82, 8,420.96 and 5,208.44 is: 7,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.82 : 8,420.96 = 5,208.44 : x
  2. Step 2: Convert to fraction form
    6,097.82/8,420.96 = 5,208.44/x
  3. Step 3: Cross multiply
    6,097.82x = 8,420.96 × 5,208.44
  4. Step 4: Simplify right side
    6,097.82x = 43,860,035.82
  5. Step 5: Solve for x
    x = 43,860,035.82/6,097.82
  6. Step 6: Final answer
    x = 7,192.75

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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.