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Finding the Fourth Proportional to 3,661.76, 5,492.71 and 1,321.94

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Solution

The fourth proportional to 3,661.76, 5,492.71 and 1,321.94 is: 1,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.76 : 5,492.71 = 1,321.94 : x
  2. Step 2: Convert to fraction form
    3,661.76/5,492.71 = 1,321.94/x
  3. Step 3: Cross multiply
    3,661.76x = 5,492.71 × 1,321.94
  4. Step 4: Simplify right side
    3,661.76x = 7,261,033.06
  5. Step 5: Solve for x
    x = 7,261,033.06/3,661.76
  6. Step 6: Final answer
    x = 1,982.94

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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.