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Finding the Fourth Proportional to 5,166.24, 7,749.09 and 1,270.50

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Solution

The fourth proportional to 5,166.24, 7,749.09 and 1,270.50 is: 1,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.24 : 7,749.09 = 1,270.50 : x
  2. Step 2: Convert to fraction form
    5,166.24/7,749.09 = 1,270.50/x
  3. Step 3: Cross multiply
    5,166.24x = 7,749.09 × 1,270.50
  4. Step 4: Simplify right side
    5,166.24x = 9,845,218.85
  5. Step 5: Solve for x
    x = 9,845,218.85/5,166.24
  6. Step 6: Final answer
    x = 1,905.68

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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.