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Finding the Fourth Proportional to 3,816.67, 5,725.58 and 1,351.51

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Solution

The fourth proportional to 3,816.67, 5,725.58 and 1,351.51 is: 2,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.67 : 5,725.58 = 1,351.51 : x
  2. Step 2: Convert to fraction form
    3,816.67/5,725.58 = 1,351.51/x
  3. Step 3: Cross multiply
    3,816.67x = 5,725.58 × 1,351.51
  4. Step 4: Simplify right side
    3,816.67x = 7,738,178.63
  5. Step 5: Solve for x
    x = 7,738,178.63/3,816.67
  6. Step 6: Final answer
    x = 2,027.47

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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.