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Finding the Fourth Proportional to 3,661.84, 5,492.76 and 3,327.76

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Solution

The fourth proportional to 3,661.84, 5,492.76 and 3,327.76 is: 4,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.84 : 5,492.76 = 3,327.76 : x
  2. Step 2: Convert to fraction form
    3,661.84/5,492.76 = 3,327.76/x
  3. Step 3: Cross multiply
    3,661.84x = 5,492.76 × 3,327.76
  4. Step 4: Simplify right side
    3,661.84x = 18,278,587.02
  5. Step 5: Solve for x
    x = 18,278,587.02/3,661.84
  6. Step 6: Final answer
    x = 4,991.64

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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.