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Finding the Fourth Proportional to 3,645.36, 5,469.54 and 1,305.66

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Solution

The fourth proportional to 3,645.36, 5,469.54 and 1,305.66 is: 1,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.36 : 5,469.54 = 1,305.66 : x
  2. Step 2: Convert to fraction form
    3,645.36/5,469.54 = 1,305.66/x
  3. Step 3: Cross multiply
    3,645.36x = 5,469.54 × 1,305.66
  4. Step 4: Simplify right side
    3,645.36x = 7,141,359.60
  5. Step 5: Solve for x
    x = 7,141,359.60/3,645.36
  6. Step 6: Final answer
    x = 1,959.03

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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.