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Finding the Fourth Proportional to 4,224.62, 6,336.94 and 1,146.62

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Solution

The fourth proportional to 4,224.62, 6,336.94 and 1,146.62 is: 1,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.62 : 6,336.94 = 1,146.62 : x
  2. Step 2: Convert to fraction form
    4,224.62/6,336.94 = 1,146.62/x
  3. Step 3: Cross multiply
    4,224.62x = 6,336.94 × 1,146.62
  4. Step 4: Simplify right side
    4,224.62x = 7,266,062.14
  5. Step 5: Solve for x
    x = 7,266,062.14/4,224.62
  6. Step 6: Final answer
    x = 1,719.93

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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.