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Finding the Fourth Proportional to 5,096.70, 7,644.70 and 1,398.62

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Solution

The fourth proportional to 5,096.70, 7,644.70 and 1,398.62 is: 2,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.70 : 7,644.70 = 1,398.62 : x
  2. Step 2: Convert to fraction form
    5,096.70/7,644.70 = 1,398.62/x
  3. Step 3: Cross multiply
    5,096.70x = 7,644.70 × 1,398.62
  4. Step 4: Simplify right side
    5,096.70x = 10,692,010.79
  5. Step 5: Solve for x
    x = 10,692,010.79/5,096.70
  6. Step 6: Final answer
    x = 2,097.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.