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Finding the Fourth Proportional to 4,906.40, 6,767.46 and 3,137.16

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Solution

The fourth proportional to 4,906.40, 6,767.46 and 3,137.16 is: 4,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.40 : 6,767.46 = 3,137.16 : x
  2. Step 2: Convert to fraction form
    4,906.40/6,767.46 = 3,137.16/x
  3. Step 3: Cross multiply
    4,906.40x = 6,767.46 × 3,137.16
  4. Step 4: Simplify right side
    4,906.40x = 21,230,604.81
  5. Step 5: Solve for x
    x = 21,230,604.81/4,906.40
  6. Step 6: Final answer
    x = 4,327.12

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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.