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Finding the Fourth Proportional to 3,492.74, 5,236.85 and 1,850.06

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Solution

The fourth proportional to 3,492.74, 5,236.85 and 1,850.06 is: 2,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.74 : 5,236.85 = 1,850.06 : x
  2. Step 2: Convert to fraction form
    3,492.74/5,236.85 = 1,850.06/x
  3. Step 3: Cross multiply
    3,492.74x = 5,236.85 × 1,850.06
  4. Step 4: Simplify right side
    3,492.74x = 9,688,504.43
  5. Step 5: Solve for x
    x = 9,688,504.43/3,492.74
  6. Step 6: Final answer
    x = 2,773.90

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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.