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Finding the Fourth Proportional to 6,376.83, 9,571.08 and 3,259.08

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Solution

The fourth proportional to 6,376.83, 9,571.08 and 3,259.08 is: 4,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.83 : 9,571.08 = 3,259.08 : x
  2. Step 2: Convert to fraction form
    6,376.83/9,571.08 = 3,259.08/x
  3. Step 3: Cross multiply
    6,376.83x = 9,571.08 × 3,259.08
  4. Step 4: Simplify right side
    6,376.83x = 31,192,915.41
  5. Step 5: Solve for x
    x = 31,192,915.41/6,376.83
  6. Step 6: Final answer
    x = 4,891.60

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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.