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Finding the Fourth Proportional to 6,212.40, 8,573.10 and 3,559.80

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Solution

The fourth proportional to 6,212.40, 8,573.10 and 3,559.80 is: 4,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.40 : 8,573.10 = 3,559.80 : x
  2. Step 2: Convert to fraction form
    6,212.40/8,573.10 = 3,559.80/x
  3. Step 3: Cross multiply
    6,212.40x = 8,573.10 × 3,559.80
  4. Step 4: Simplify right side
    6,212.40x = 30,518,521.38
  5. Step 5: Solve for x
    x = 30,518,521.38/6,212.40
  6. Step 6: Final answer
    x = 4,912.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.