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Finding the Fourth Proportional to 3,694.44, 5,098.86 and 2,369.64

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Solution

The fourth proportional to 3,694.44, 5,098.86 and 2,369.64 is: 3,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.44 : 5,098.86 = 2,369.64 : x
  2. Step 2: Convert to fraction form
    3,694.44/5,098.86 = 2,369.64/x
  3. Step 3: Cross multiply
    3,694.44x = 5,098.86 × 2,369.64
  4. Step 4: Simplify right side
    3,694.44x = 12,082,462.61
  5. Step 5: Solve for x
    x = 12,082,462.61/3,694.44
  6. Step 6: Final answer
    x = 3,270.44

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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.