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Finding the Fourth Proportional to 5,365, 8,046.26 and 1,469.72

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Solution

The fourth proportional to 5,365, 8,046.26 and 1,469.72 is: 2,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365 : 8,046.26 = 1,469.72 : x
  2. Step 2: Convert to fraction form
    5,365/8,046.26 = 1,469.72/x
  3. Step 3: Cross multiply
    5,365x = 8,046.26 × 1,469.72
  4. Step 4: Simplify right side
    5,365x = 11,825,749.25
  5. Step 5: Solve for x
    x = 11,825,749.25/5,365
  6. Step 6: Final answer
    x = 2,204.24

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