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Finding the Fourth Proportional to 3,817.48, 5,725.15 and 1,351.64

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Solution

The fourth proportional to 3,817.48, 5,725.15 and 1,351.64 is: 2,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.48 : 5,725.15 = 1,351.64 : x
  2. Step 2: Convert to fraction form
    3,817.48/5,725.15 = 1,351.64/x
  3. Step 3: Cross multiply
    3,817.48x = 5,725.15 × 1,351.64
  4. Step 4: Simplify right side
    3,817.48x = 7,738,313.12
  5. Step 5: Solve for x
    x = 7,738,313.12/3,817.48
  6. Step 6: Final answer
    x = 2,027.07

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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.