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Finding the Fourth Proportional to 4,768.20, 6,580.46 and 2,672.20

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Solution

The fourth proportional to 4,768.20, 6,580.46 and 2,672.20 is: 3,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.20 : 6,580.46 = 2,672.20 : x
  2. Step 2: Convert to fraction form
    4,768.20/6,580.46 = 2,672.20/x
  3. Step 3: Cross multiply
    4,768.20x = 6,580.46 × 2,672.20
  4. Step 4: Simplify right side
    4,768.20x = 17,584,305.21
  5. Step 5: Solve for x
    x = 17,584,305.21/4,768.20
  6. Step 6: Final answer
    x = 3,687.83

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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.