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Finding the Fourth Proportional to 5,176.26, 7,745.85 and 4,485.26

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Solution

The fourth proportional to 5,176.26, 7,745.85 and 4,485.26 is: 6,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.26 : 7,745.85 = 4,485.26 : x
  2. Step 2: Convert to fraction form
    5,176.26/7,745.85 = 4,485.26/x
  3. Step 3: Cross multiply
    5,176.26x = 7,745.85 × 4,485.26
  4. Step 4: Simplify right side
    5,176.26x = 34,742,112.44
  5. Step 5: Solve for x
    x = 34,742,112.44/5,176.26
  6. Step 6: Final answer
    x = 6,711.82

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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.