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Finding the Fourth Proportional to 3,224.48, 4,832.46 and 2,492.64

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Solution

The fourth proportional to 3,224.48, 4,832.46 and 2,492.64 is: 3,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.48 : 4,832.46 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    3,224.48/4,832.46 = 2,492.64/x
  3. Step 3: Cross multiply
    3,224.48x = 4,832.46 × 2,492.64
  4. Step 4: Simplify right side
    3,224.48x = 12,045,583.09
  5. Step 5: Solve for x
    x = 12,045,583.09/3,224.48
  6. Step 6: Final answer
    x = 3,735.67

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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.