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Finding the Fourth Proportional to 4,568.20, 6,844.20 and 4,276.60

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Solution

The fourth proportional to 4,568.20, 6,844.20 and 4,276.60 is: 6,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.20 : 6,844.20 = 4,276.60 : x
  2. Step 2: Convert to fraction form
    4,568.20/6,844.20 = 4,276.60/x
  3. Step 3: Cross multiply
    4,568.20x = 6,844.20 × 4,276.60
  4. Step 4: Simplify right side
    4,568.20x = 29,269,905.72
  5. Step 5: Solve for x
    x = 29,269,905.72/4,568.20
  6. Step 6: Final answer
    x = 6,407.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.