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Finding the Fourth Proportional to 4,183.66, 6,274.17 and 1,514.91

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Solution

The fourth proportional to 4,183.66, 6,274.17 and 1,514.91 is: 2,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.66 : 6,274.17 = 1,514.91 : x
  2. Step 2: Convert to fraction form
    4,183.66/6,274.17 = 1,514.91/x
  3. Step 3: Cross multiply
    4,183.66x = 6,274.17 × 1,514.91
  4. Step 4: Simplify right side
    4,183.66x = 9,504,802.87
  5. Step 5: Solve for x
    x = 9,504,802.87/4,183.66
  6. Step 6: Final answer
    x = 2,271.89

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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.