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Finding the Fourth Proportional to 3,924.22, 5,889.04 and 2,538.22

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Solution

The fourth proportional to 3,924.22, 5,889.04 and 2,538.22 is: 3,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.22 : 5,889.04 = 2,538.22 : x
  2. Step 2: Convert to fraction form
    3,924.22/5,889.04 = 2,538.22/x
  3. Step 3: Cross multiply
    3,924.22x = 5,889.04 × 2,538.22
  4. Step 4: Simplify right side
    3,924.22x = 14,947,679.11
  5. Step 5: Solve for x
    x = 14,947,679.11/3,924.22
  6. Step 6: Final answer
    x = 3,809.08

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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.