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Finding the Fourth Proportional to 6,213.07, 8,573.78 and 3,380.46

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Solution

The fourth proportional to 6,213.07, 8,573.78 and 3,380.46 is: 4,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.07 : 8,573.78 = 3,380.46 : x
  2. Step 2: Convert to fraction form
    6,213.07/8,573.78 = 3,380.46/x
  3. Step 3: Cross multiply
    6,213.07x = 8,573.78 × 3,380.46
  4. Step 4: Simplify right side
    6,213.07x = 28,983,323.36
  5. Step 5: Solve for x
    x = 28,983,323.36/6,213.07
  6. Step 6: Final answer
    x = 4,664.89

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