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Finding the Fourth Proportional to 6,213.41, 8,579.98 and 4,228.71

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Solution

The fourth proportional to 6,213.41, 8,579.98 and 4,228.71 is: 5,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.41 : 8,579.98 = 4,228.71 : x
  2. Step 2: Convert to fraction form
    6,213.41/8,579.98 = 4,228.71/x
  3. Step 3: Cross multiply
    6,213.41x = 8,579.98 × 4,228.71
  4. Step 4: Simplify right side
    6,213.41x = 36,282,196.55
  5. Step 5: Solve for x
    x = 36,282,196.55/6,213.41
  6. Step 6: Final answer
    x = 5,839.34

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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.