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Finding the Fourth Proportional to 5,492.85, 8,243.71 and 2,861.16

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Solution

The fourth proportional to 5,492.85, 8,243.71 and 2,861.16 is: 4,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.85 : 8,243.71 = 2,861.16 : x
  2. Step 2: Convert to fraction form
    5,492.85/8,243.71 = 2,861.16/x
  3. Step 3: Cross multiply
    5,492.85x = 8,243.71 × 2,861.16
  4. Step 4: Simplify right side
    5,492.85x = 23,586,573.30
  5. Step 5: Solve for x
    x = 23,586,573.30/5,492.85
  6. Step 6: Final answer
    x = 4,294.05

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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.