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Finding the Fourth Proportional to 5,096.14, 7,026.16 and 3,300.44

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Solution

The fourth proportional to 5,096.14, 7,026.16 and 3,300.44 is: 4,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.14 : 7,026.16 = 3,300.44 : x
  2. Step 2: Convert to fraction form
    5,096.14/7,026.16 = 3,300.44/x
  3. Step 3: Cross multiply
    5,096.14x = 7,026.16 × 3,300.44
  4. Step 4: Simplify right side
    5,096.14x = 23,189,428.82
  5. Step 5: Solve for x
    x = 23,189,428.82/5,096.14
  6. Step 6: Final answer
    x = 4,550.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.