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Finding the Fourth Proportional to 6,190.68, 8,542.86 and 3,396.12

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Solution

The fourth proportional to 6,190.68, 8,542.86 and 3,396.12 is: 4,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.68 : 8,542.86 = 3,396.12 : x
  2. Step 2: Convert to fraction form
    6,190.68/8,542.86 = 3,396.12/x
  3. Step 3: Cross multiply
    6,190.68x = 8,542.86 × 3,396.12
  4. Step 4: Simplify right side
    6,190.68x = 29,012,577.70
  5. Step 5: Solve for x
    x = 29,012,577.70/6,190.68
  6. Step 6: Final answer
    x = 4,686.49

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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.