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Finding the Fourth Proportional to 4,504.26, 6,742.26 and 3,271.35

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Solution

The fourth proportional to 4,504.26, 6,742.26 and 3,271.35 is: 4,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.26 : 6,742.26 = 3,271.35 : x
  2. Step 2: Convert to fraction form
    4,504.26/6,742.26 = 3,271.35/x
  3. Step 3: Cross multiply
    4,504.26x = 6,742.26 × 3,271.35
  4. Step 4: Simplify right side
    4,504.26x = 22,056,292.25
  5. Step 5: Solve for x
    x = 22,056,292.25/4,504.26
  6. Step 6: Final answer
    x = 4,896.76

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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.