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Finding the Fourth Proportional to 3,830, 5,745.96 and 1,094

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Solution

The fourth proportional to 3,830, 5,745.96 and 1,094 is: 1,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,745.96 = 1,094 : x
  2. Step 2: Convert to fraction form
    3,830/5,745.96 = 1,094/x
  3. Step 3: Cross multiply
    3,830x = 5,745.96 × 1,094
  4. Step 4: Simplify right side
    3,830x = 6,286,080.24
  5. Step 5: Solve for x
    x = 6,286,080.24/3,830
  6. Step 6: Final answer
    x = 1,641.27

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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.