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Finding the Fourth Proportional to 5,492.25, 8,217.72 and 3,852

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Solution

The fourth proportional to 5,492.25, 8,217.72 and 3,852 is: 5,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.25 : 8,217.72 = 3,852 : x
  2. Step 2: Convert to fraction form
    5,492.25/8,217.72 = 3,852/x
  3. Step 3: Cross multiply
    5,492.25x = 8,217.72 × 3,852
  4. Step 4: Simplify right side
    5,492.25x = 31,654,657.44
  5. Step 5: Solve for x
    x = 31,654,657.44/5,492.25
  6. Step 6: Final answer
    x = 5,763.51

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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.