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Finding the Fourth Proportional to 3,812.85, 5,715.18 and 2,492.46

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Solution

The fourth proportional to 3,812.85, 5,715.18 and 2,492.46 is: 3,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.85 : 5,715.18 = 2,492.46 : x
  2. Step 2: Convert to fraction form
    3,812.85/5,715.18 = 2,492.46/x
  3. Step 3: Cross multiply
    3,812.85x = 5,715.18 × 2,492.46
  4. Step 4: Simplify right side
    3,812.85x = 14,244,857.54
  5. Step 5: Solve for x
    x = 14,244,857.54/3,812.85
  6. Step 6: Final answer
    x = 3,736.01

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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.