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Finding the Fourth Proportional to 5,204.83, 7,185 and 3,318.94

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Solution

The fourth proportional to 5,204.83, 7,185 and 3,318.94 is: 4,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.83 : 7,185 = 3,318.94 : x
  2. Step 2: Convert to fraction form
    5,204.83/7,185 = 3,318.94/x
  3. Step 3: Cross multiply
    5,204.83x = 7,185 × 3,318.94
  4. Step 4: Simplify right side
    5,204.83x = 23,846,583.90
  5. Step 5: Solve for x
    x = 23,846,583.90/5,204.83
  6. Step 6: Final answer
    x = 4,581.63

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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.