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Finding the Fourth Proportional to 6,133.41, 8,464.68 and 3,616.29

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Solution

The fourth proportional to 6,133.41, 8,464.68 and 3,616.29 is: 4,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.41 : 8,464.68 = 3,616.29 : x
  2. Step 2: Convert to fraction form
    6,133.41/8,464.68 = 3,616.29/x
  3. Step 3: Cross multiply
    6,133.41x = 8,464.68 × 3,616.29
  4. Step 4: Simplify right side
    6,133.41x = 30,610,737.64
  5. Step 5: Solve for x
    x = 30,610,737.64/6,133.41
  6. Step 6: Final answer
    x = 4,990.82

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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.