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Finding the Fourth Proportional to 3,888.22, 5,832.34 and 1,422.02

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Solution

The fourth proportional to 3,888.22, 5,832.34 and 1,422.02 is: 2,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.22 : 5,832.34 = 1,422.02 : x
  2. Step 2: Convert to fraction form
    3,888.22/5,832.34 = 1,422.02/x
  3. Step 3: Cross multiply
    3,888.22x = 5,832.34 × 1,422.02
  4. Step 4: Simplify right side
    3,888.22x = 8,293,704.13
  5. Step 5: Solve for x
    x = 8,293,704.13/3,888.22
  6. Step 6: Final answer
    x = 2,133.03

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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.