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Finding the Fourth Proportional to 3,762.38, 5,643.75 and 1,422.20

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Solution

The fourth proportional to 3,762.38, 5,643.75 and 1,422.20 is: 2,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.38 : 5,643.75 = 1,422.20 : x
  2. Step 2: Convert to fraction form
    3,762.38/5,643.75 = 1,422.20/x
  3. Step 3: Cross multiply
    3,762.38x = 5,643.75 × 1,422.20
  4. Step 4: Simplify right side
    3,762.38x = 8,026,541.25
  5. Step 5: Solve for x
    x = 8,026,541.25/3,762.38
  6. Step 6: Final answer
    x = 2,133.37

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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.