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Finding the Fourth Proportional to 3,922.72, 5,415.46 and 3,024.50

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Solution

The fourth proportional to 3,922.72, 5,415.46 and 3,024.50 is: 4,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.72 : 5,415.46 = 3,024.50 : x
  2. Step 2: Convert to fraction form
    3,922.72/5,415.46 = 3,024.50/x
  3. Step 3: Cross multiply
    3,922.72x = 5,415.46 × 3,024.50
  4. Step 4: Simplify right side
    3,922.72x = 16,379,024.13
  5. Step 5: Solve for x
    x = 16,379,024.13/3,922.72
  6. Step 6: Final answer
    x = 4,175.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.