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Finding the Fourth Proportional to 6,208.20, 8,571.60 and 4,220.40

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Solution

The fourth proportional to 6,208.20, 8,571.60 and 4,220.40 is: 5,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.20 : 8,571.60 = 4,220.40 : x
  2. Step 2: Convert to fraction form
    6,208.20/8,571.60 = 4,220.40/x
  3. Step 3: Cross multiply
    6,208.20x = 8,571.60 × 4,220.40
  4. Step 4: Simplify right side
    6,208.20x = 36,175,580.64
  5. Step 5: Solve for x
    x = 36,175,580.64/6,208.20
  6. Step 6: Final answer
    x = 5,827.06

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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.