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Finding the Fourth Proportional to 4,776.37, 7,151.79 and 3,846.89

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Solution

The fourth proportional to 4,776.37, 7,151.79 and 3,846.89 is: 5,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.37 : 7,151.79 = 3,846.89 : x
  2. Step 2: Convert to fraction form
    4,776.37/7,151.79 = 3,846.89/x
  3. Step 3: Cross multiply
    4,776.37x = 7,151.79 × 3,846.89
  4. Step 4: Simplify right side
    4,776.37x = 27,512,181.74
  5. Step 5: Solve for x
    x = 27,512,181.74/4,776.37
  6. Step 6: Final answer
    x = 5,760.06

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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.