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Finding the Fourth Proportional to 4,757.64, 6,566.16 and 2,768.80

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Solution

The fourth proportional to 4,757.64, 6,566.16 and 2,768.80 is: 3,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.64 : 6,566.16 = 2,768.80 : x
  2. Step 2: Convert to fraction form
    4,757.64/6,566.16 = 2,768.80/x
  3. Step 3: Cross multiply
    4,757.64x = 6,566.16 × 2,768.80
  4. Step 4: Simplify right side
    4,757.64x = 18,180,383.81
  5. Step 5: Solve for x
    x = 18,180,383.81/4,757.64
  6. Step 6: Final answer
    x = 3,821.30

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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.