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Finding the Fourth Proportional to 5,745.22, 7,926.98 and 3,506.28

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Solution

The fourth proportional to 5,745.22, 7,926.98 and 3,506.28 is: 4,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.22 : 7,926.98 = 3,506.28 : x
  2. Step 2: Convert to fraction form
    5,745.22/7,926.98 = 3,506.28/x
  3. Step 3: Cross multiply
    5,745.22x = 7,926.98 × 3,506.28
  4. Step 4: Simplify right side
    5,745.22x = 27,794,220.20
  5. Step 5: Solve for x
    x = 27,794,220.20/5,745.22
  6. Step 6: Final answer
    x = 4,837.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.