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Finding the Fourth Proportional to 6,122.88, 8,450.19 and 3,470.40

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Solution

The fourth proportional to 6,122.88, 8,450.19 and 3,470.40 is: 4,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.88 : 8,450.19 = 3,470.40 : x
  2. Step 2: Convert to fraction form
    6,122.88/8,450.19 = 3,470.40/x
  3. Step 3: Cross multiply
    6,122.88x = 8,450.19 × 3,470.40
  4. Step 4: Simplify right side
    6,122.88x = 29,325,539.38
  5. Step 5: Solve for x
    x = 29,325,539.38/6,122.88
  6. Step 6: Final answer
    x = 4,789.50

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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.