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Finding the Fourth Proportional to 3,767.64, 5,639.16 and 3,408.36

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Solution

The fourth proportional to 3,767.64, 5,639.16 and 3,408.36 is: 5,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.64 : 5,639.16 = 3,408.36 : x
  2. Step 2: Convert to fraction form
    3,767.64/5,639.16 = 3,408.36/x
  3. Step 3: Cross multiply
    3,767.64x = 5,639.16 × 3,408.36
  4. Step 4: Simplify right side
    3,767.64x = 19,220,287.38
  5. Step 5: Solve for x
    x = 19,220,287.38/3,767.64
  6. Step 6: Final answer
    x = 5,101.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.