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Finding the Fourth Proportional to 4,520.50, 6,782.80 and 2,675.22

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Solution

The fourth proportional to 4,520.50, 6,782.80 and 2,675.22 is: 4,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.50 : 6,782.80 = 2,675.22 : x
  2. Step 2: Convert to fraction form
    4,520.50/6,782.80 = 2,675.22/x
  3. Step 3: Cross multiply
    4,520.50x = 6,782.80 × 2,675.22
  4. Step 4: Simplify right side
    4,520.50x = 18,145,482.22
  5. Step 5: Solve for x
    x = 18,145,482.22/4,520.50
  6. Step 6: Final answer
    x = 4,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.