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Finding the Fourth Proportional to 4,768.56, 7,149.60 and 3,014.64

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Solution

The fourth proportional to 4,768.56, 7,149.60 and 3,014.64 is: 4,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.56 : 7,149.60 = 3,014.64 : x
  2. Step 2: Convert to fraction form
    4,768.56/7,149.60 = 3,014.64/x
  3. Step 3: Cross multiply
    4,768.56x = 7,149.60 × 3,014.64
  4. Step 4: Simplify right side
    4,768.56x = 21,553,470.14
  5. Step 5: Solve for x
    x = 21,553,470.14/4,768.56
  6. Step 6: Final answer
    x = 4,519.91

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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.