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Finding the Fourth Proportional to 3,661.48, 5,492.94 and 1,321.66

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Solution

The fourth proportional to 3,661.48, 5,492.94 and 1,321.66 is: 1,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.48 : 5,492.94 = 1,321.66 : x
  2. Step 2: Convert to fraction form
    3,661.48/5,492.94 = 1,321.66/x
  3. Step 3: Cross multiply
    3,661.48x = 5,492.94 × 1,321.66
  4. Step 4: Simplify right side
    3,661.48x = 7,259,799.08
  5. Step 5: Solve for x
    x = 7,259,799.08/3,661.48
  6. Step 6: Final answer
    x = 1,982.75

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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.