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Finding the Fourth Proportional to 3,492.29, 5,232.27 and 1,845.20

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Solution

The fourth proportional to 3,492.29, 5,232.27 and 1,845.20 is: 2,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.29 : 5,232.27 = 1,845.20 : x
  2. Step 2: Convert to fraction form
    3,492.29/5,232.27 = 1,845.20/x
  3. Step 3: Cross multiply
    3,492.29x = 5,232.27 × 1,845.20
  4. Step 4: Simplify right side
    3,492.29x = 9,654,558.44
  5. Step 5: Solve for x
    x = 9,654,558.44/3,492.29
  6. Step 6: Final answer
    x = 2,764.54

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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.