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Finding the Fourth Proportional to 5,096.52, 7,644.72 and 2,172.96

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Solution

The fourth proportional to 5,096.52, 7,644.72 and 2,172.96 is: 3,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.52 : 7,644.72 = 2,172.96 : x
  2. Step 2: Convert to fraction form
    5,096.52/7,644.72 = 2,172.96/x
  3. Step 3: Cross multiply
    5,096.52x = 7,644.72 × 2,172.96
  4. Step 4: Simplify right side
    5,096.52x = 16,611,670.77
  5. Step 5: Solve for x
    x = 16,611,670.77/5,096.52
  6. Step 6: Final answer
    x = 3,259.41

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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.