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Finding the Fourth Proportional to 3,662.45, 5,049.16 and 2,317.39

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Solution

The fourth proportional to 3,662.45, 5,049.16 and 2,317.39 is: 3,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.45 : 5,049.16 = 2,317.39 : x
  2. Step 2: Convert to fraction form
    3,662.45/5,049.16 = 2,317.39/x
  3. Step 3: Cross multiply
    3,662.45x = 5,049.16 × 2,317.39
  4. Step 4: Simplify right side
    3,662.45x = 11,700,872.89
  5. Step 5: Solve for x
    x = 11,700,872.89/3,662.45
  6. Step 6: Final answer
    x = 3,194.82

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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.