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Finding the Fourth Proportional to 4,576.74, 6,861.78 and 3,092.25

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Solution

The fourth proportional to 4,576.74, 6,861.78 and 3,092.25 is: 4,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.74 : 6,861.78 = 3,092.25 : x
  2. Step 2: Convert to fraction form
    4,576.74/6,861.78 = 3,092.25/x
  3. Step 3: Cross multiply
    4,576.74x = 6,861.78 × 3,092.25
  4. Step 4: Simplify right side
    4,576.74x = 21,218,339.21
  5. Step 5: Solve for x
    x = 21,218,339.21/4,576.74
  6. Step 6: Final answer
    x = 4,636.13

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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.