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Finding the Fourth Proportional to 3,823.22, 5,734.99 and 1,050.16

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Solution

The fourth proportional to 3,823.22, 5,734.99 and 1,050.16 is: 1,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.22 : 5,734.99 = 1,050.16 : x
  2. Step 2: Convert to fraction form
    3,823.22/5,734.99 = 1,050.16/x
  3. Step 3: Cross multiply
    3,823.22x = 5,734.99 × 1,050.16
  4. Step 4: Simplify right side
    3,823.22x = 6,022,640.14
  5. Step 5: Solve for x
    x = 6,022,640.14/3,823.22
  6. Step 6: Final answer
    x = 1,575.28

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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.