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Finding the Fourth Proportional to 5,365.24, 8,046.62 and 1,469.96

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Solution

The fourth proportional to 5,365.24, 8,046.62 and 1,469.96 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.24 : 8,046.62 = 1,469.96 : x
  2. Step 2: Convert to fraction form
    5,365.24/8,046.62 = 1,469.96/x
  3. Step 3: Cross multiply
    5,365.24x = 8,046.62 × 1,469.96
  4. Step 4: Simplify right side
    5,365.24x = 11,828,209.54
  5. Step 5: Solve for x
    x = 11,828,209.54/5,365.24
  6. Step 6: Final answer
    x = 2,204.60

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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.