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Finding the Fourth Proportional to 3,661.06, 5,492.29 and 1,469.97

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Solution

The fourth proportional to 3,661.06, 5,492.29 and 1,469.97 is: 2,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.06 : 5,492.29 = 1,469.97 : x
  2. Step 2: Convert to fraction form
    3,661.06/5,492.29 = 1,469.97/x
  3. Step 3: Cross multiply
    3,661.06x = 5,492.29 × 1,469.97
  4. Step 4: Simplify right side
    3,661.06x = 8,073,501.53
  5. Step 5: Solve for x
    x = 8,073,501.53/3,661.06
  6. Step 6: Final answer
    x = 2,205.24

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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.