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Finding the Fourth Proportional to 5,096.66, 7,644.17 and 1,398.03

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Solution

The fourth proportional to 5,096.66, 7,644.17 and 1,398.03 is: 2,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.66 : 7,644.17 = 1,398.03 : x
  2. Step 2: Convert to fraction form
    5,096.66/7,644.17 = 1,398.03/x
  3. Step 3: Cross multiply
    5,096.66x = 7,644.17 × 1,398.03
  4. Step 4: Simplify right side
    5,096.66x = 10,686,778.99
  5. Step 5: Solve for x
    x = 10,686,778.99/5,096.66
  6. Step 6: Final answer
    x = 2,096.82

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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.