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Finding the Fourth Proportional to 4,563.72, 6,845.76 and 1,276.56

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Solution

The fourth proportional to 4,563.72, 6,845.76 and 1,276.56 is: 1,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.72 : 6,845.76 = 1,276.56 : x
  2. Step 2: Convert to fraction form
    4,563.72/6,845.76 = 1,276.56/x
  3. Step 3: Cross multiply
    4,563.72x = 6,845.76 × 1,276.56
  4. Step 4: Simplify right side
    4,563.72x = 8,739,023.39
  5. Step 5: Solve for x
    x = 8,739,023.39/4,563.72
  6. Step 6: Final answer
    x = 1,914.89

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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.