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Finding the Fourth Proportional to 4,224.44, 6,336.78 and 1,146.44

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Solution

The fourth proportional to 4,224.44, 6,336.78 and 1,146.44 is: 1,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.44 : 6,336.78 = 1,146.44 : x
  2. Step 2: Convert to fraction form
    4,224.44/6,336.78 = 1,146.44/x
  3. Step 3: Cross multiply
    4,224.44x = 6,336.78 × 1,146.44
  4. Step 4: Simplify right side
    4,224.44x = 7,264,738.06
  5. Step 5: Solve for x
    x = 7,264,738.06/4,224.44
  6. Step 6: Final answer
    x = 1,719.69

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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.