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Finding the Fourth Proportional to 6,192.57, 8,546.34 and 3,539.47

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Solution

The fourth proportional to 6,192.57, 8,546.34 and 3,539.47 is: 4,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.57 : 8,546.34 = 3,539.47 : x
  2. Step 2: Convert to fraction form
    6,192.57/8,546.34 = 3,539.47/x
  3. Step 3: Cross multiply
    6,192.57x = 8,546.34 × 3,539.47
  4. Step 4: Simplify right side
    6,192.57x = 30,249,471.31
  5. Step 5: Solve for x
    x = 30,249,471.31/6,192.57
  6. Step 6: Final answer
    x = 4,884.80

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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.