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Finding the Fourth Proportional to 4,532.94, 6,795.36 and 2,884.86

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Solution

The fourth proportional to 4,532.94, 6,795.36 and 2,884.86 is: 4,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.94 : 6,795.36 = 2,884.86 : x
  2. Step 2: Convert to fraction form
    4,532.94/6,795.36 = 2,884.86/x
  3. Step 3: Cross multiply
    4,532.94x = 6,795.36 × 2,884.86
  4. Step 4: Simplify right side
    4,532.94x = 19,603,662.25
  5. Step 5: Solve for x
    x = 19,603,662.25/4,532.94
  6. Step 6: Final answer
    x = 4,324.71

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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.