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Finding the Fourth Proportional to 5,166.54, 7,749.73 and 1,270.98

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Solution

The fourth proportional to 5,166.54, 7,749.73 and 1,270.98 is: 1,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.54 : 7,749.73 = 1,270.98 : x
  2. Step 2: Convert to fraction form
    5,166.54/7,749.73 = 1,270.98/x
  3. Step 3: Cross multiply
    5,166.54x = 7,749.73 × 1,270.98
  4. Step 4: Simplify right side
    5,166.54x = 9,849,713.09
  5. Step 5: Solve for x
    x = 9,849,713.09/5,166.54
  6. Step 6: Final answer
    x = 1,906.44

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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.