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Finding the Fourth Proportional to 3,670.69, 5,476.27 and 3,369.64

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Solution

The fourth proportional to 3,670.69, 5,476.27 and 3,369.64 is: 5,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.69 : 5,476.27 = 3,369.64 : x
  2. Step 2: Convert to fraction form
    3,670.69/5,476.27 = 3,369.64/x
  3. Step 3: Cross multiply
    3,670.69x = 5,476.27 × 3,369.64
  4. Step 4: Simplify right side
    3,670.69x = 18,453,058.44
  5. Step 5: Solve for x
    x = 18,453,058.44/3,670.69
  6. Step 6: Final answer
    x = 5,027.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.