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Finding the Fourth Proportional to 6,134.02, 8,468.10 and 3,616.95

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Solution

The fourth proportional to 6,134.02, 8,468.10 and 3,616.95 is: 4,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.02 : 8,468.10 = 3,616.95 : x
  2. Step 2: Convert to fraction form
    6,134.02/8,468.10 = 3,616.95/x
  3. Step 3: Cross multiply
    6,134.02x = 8,468.10 × 3,616.95
  4. Step 4: Simplify right side
    6,134.02x = 30,628,694.30
  5. Step 5: Solve for x
    x = 30,628,694.30/6,134.02
  6. Step 6: Final answer
    x = 4,993.25

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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.