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Finding the Fourth Proportional to 5,297.22, 7,947.05 and 2,834.42

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Solution

The fourth proportional to 5,297.22, 7,947.05 and 2,834.42 is: 4,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.22 : 7,947.05 = 2,834.42 : x
  2. Step 2: Convert to fraction form
    5,297.22/7,947.05 = 2,834.42/x
  3. Step 3: Cross multiply
    5,297.22x = 7,947.05 × 2,834.42
  4. Step 4: Simplify right side
    5,297.22x = 22,525,223.55
  5. Step 5: Solve for x
    x = 22,525,223.55/5,297.22
  6. Step 6: Final answer
    x = 4,252.27

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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.