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Finding the Fourth Proportional to 5,096.94, 7,640.02 and 2,900.94

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Solution

The fourth proportional to 5,096.94, 7,640.02 and 2,900.94 is: 4,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.94 : 7,640.02 = 2,900.94 : x
  2. Step 2: Convert to fraction form
    5,096.94/7,640.02 = 2,900.94/x
  3. Step 3: Cross multiply
    5,096.94x = 7,640.02 × 2,900.94
  4. Step 4: Simplify right side
    5,096.94x = 22,163,239.62
  5. Step 5: Solve for x
    x = 22,163,239.62/5,096.94
  6. Step 6: Final answer
    x = 4,348.34

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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.