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Finding the Fourth Proportional to 3,762.13, 5,642.34 and 1,422.38

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Solution

The fourth proportional to 3,762.13, 5,642.34 and 1,422.38 is: 2,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.13 : 5,642.34 = 1,422.38 : x
  2. Step 2: Convert to fraction form
    3,762.13/5,642.34 = 1,422.38/x
  3. Step 3: Cross multiply
    3,762.13x = 5,642.34 × 1,422.38
  4. Step 4: Simplify right side
    3,762.13x = 8,025,551.57
  5. Step 5: Solve for x
    x = 8,025,551.57/3,762.13
  6. Step 6: Final answer
    x = 2,133.25

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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.