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Finding the Fourth Proportional to 4,789.16, 7,183.46 and 2,014.38

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Solution

The fourth proportional to 4,789.16, 7,183.46 and 2,014.38 is: 3,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.16 : 7,183.46 = 2,014.38 : x
  2. Step 2: Convert to fraction form
    4,789.16/7,183.46 = 2,014.38/x
  3. Step 3: Cross multiply
    4,789.16x = 7,183.46 × 2,014.38
  4. Step 4: Simplify right side
    4,789.16x = 14,470,218.15
  5. Step 5: Solve for x
    x = 14,470,218.15/4,789.16
  6. Step 6: Final answer
    x = 3,021.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.