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Finding the Fourth Proportional to 5,096.66, 7,645 and 1,398.94

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Solution

The fourth proportional to 5,096.66, 7,645 and 1,398.94 is: 2,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.66 : 7,645 = 1,398.94 : x
  2. Step 2: Convert to fraction form
    5,096.66/7,645 = 1,398.94/x
  3. Step 3: Cross multiply
    5,096.66x = 7,645 × 1,398.94
  4. Step 4: Simplify right side
    5,096.66x = 10,694,896.30
  5. Step 5: Solve for x
    x = 10,694,896.30/5,096.66
  6. Step 6: Final answer
    x = 2,098.41

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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.