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Finding the Fourth Proportional to 6,229.64, 8,596.58 and 3,871.74

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Solution

The fourth proportional to 6,229.64, 8,596.58 and 3,871.74 is: 5,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.64 : 8,596.58 = 3,871.74 : x
  2. Step 2: Convert to fraction form
    6,229.64/8,596.58 = 3,871.74/x
  3. Step 3: Cross multiply
    6,229.64x = 8,596.58 × 3,871.74
  4. Step 4: Simplify right side
    6,229.64x = 33,283,722.65
  5. Step 5: Solve for x
    x = 33,283,722.65/6,229.64
  6. Step 6: Final answer
    x = 5,342.80

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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.