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Finding the Fourth Proportional to 5,738.36, 7,920.26 and 3,745.40

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Solution

The fourth proportional to 5,738.36, 7,920.26 and 3,745.40 is: 5,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.36 : 7,920.26 = 3,745.40 : x
  2. Step 2: Convert to fraction form
    5,738.36/7,920.26 = 3,745.40/x
  3. Step 3: Cross multiply
    5,738.36x = 7,920.26 × 3,745.40
  4. Step 4: Simplify right side
    5,738.36x = 29,664,541.80
  5. Step 5: Solve for x
    x = 29,664,541.80/5,738.36
  6. Step 6: Final answer
    x = 5,169.52

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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.