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Finding the Fourth Proportional to 3,762.62, 5,643.22 and 1,422.84

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Solution

The fourth proportional to 3,762.62, 5,643.22 and 1,422.84 is: 2,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.62 : 5,643.22 = 1,422.84 : x
  2. Step 2: Convert to fraction form
    3,762.62/5,643.22 = 1,422.84/x
  3. Step 3: Cross multiply
    3,762.62x = 5,643.22 × 1,422.84
  4. Step 4: Simplify right side
    3,762.62x = 8,029,399.14
  5. Step 5: Solve for x
    x = 8,029,399.14/3,762.62
  6. Step 6: Final answer
    x = 2,133.99

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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.