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Finding the Fourth Proportional to 5,150.50, 7,107.41 and 2,912.25

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Solution

The fourth proportional to 5,150.50, 7,107.41 and 2,912.25 is: 4,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.50 : 7,107.41 = 2,912.25 : x
  2. Step 2: Convert to fraction form
    5,150.50/7,107.41 = 2,912.25/x
  3. Step 3: Cross multiply
    5,150.50x = 7,107.41 × 2,912.25
  4. Step 4: Simplify right side
    5,150.50x = 20,698,588.71
  5. Step 5: Solve for x
    x = 20,698,588.71/5,150.50
  6. Step 6: Final answer
    x = 4,018.75

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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.