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Finding the Fourth Proportional to 3,267.23, 4,874.86 and 2,835.23

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Solution

The fourth proportional to 3,267.23, 4,874.86 and 2,835.23 is: 4,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.23 : 4,874.86 = 2,835.23 : x
  2. Step 2: Convert to fraction form
    3,267.23/4,874.86 = 2,835.23/x
  3. Step 3: Cross multiply
    3,267.23x = 4,874.86 × 2,835.23
  4. Step 4: Simplify right side
    3,267.23x = 13,821,328.49
  5. Step 5: Solve for x
    x = 13,821,328.49/3,267.23
  6. Step 6: Final answer
    x = 4,230.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.