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Finding the Fourth Proportional to 5,042.34, 7,564.44 and 1,922.22

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Solution

The fourth proportional to 5,042.34, 7,564.44 and 1,922.22 is: 2,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.34 : 7,564.44 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    5,042.34/7,564.44 = 1,922.22/x
  3. Step 3: Cross multiply
    5,042.34x = 7,564.44 × 1,922.22
  4. Step 4: Simplify right side
    5,042.34x = 14,540,517.86
  5. Step 5: Solve for x
    x = 14,540,517.86/5,042.34
  6. Step 6: Final answer
    x = 2,883.68

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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.