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Finding the Fourth Proportional to 4,865.73, 7,299.62 and 1,578.57

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Solution

The fourth proportional to 4,865.73, 7,299.62 and 1,578.57 is: 2,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.73 : 7,299.62 = 1,578.57 : x
  2. Step 2: Convert to fraction form
    4,865.73/7,299.62 = 1,578.57/x
  3. Step 3: Cross multiply
    4,865.73x = 7,299.62 × 1,578.57
  4. Step 4: Simplify right side
    4,865.73x = 11,522,940.68
  5. Step 5: Solve for x
    x = 11,522,940.68/4,865.73
  6. Step 6: Final answer
    x = 2,368.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.