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Finding the Fourth Proportional to 4,183.64, 6,274.18 and 1,447

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Solution

The fourth proportional to 4,183.64, 6,274.18 and 1,447 is: 2,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.64 : 6,274.18 = 1,447 : x
  2. Step 2: Convert to fraction form
    4,183.64/6,274.18 = 1,447/x
  3. Step 3: Cross multiply
    4,183.64x = 6,274.18 × 1,447
  4. Step 4: Simplify right side
    4,183.64x = 9,078,738.46
  5. Step 5: Solve for x
    x = 9,078,738.46/4,183.64
  6. Step 6: Final answer
    x = 2,170.06

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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.