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Finding the Fourth Proportional to 4,806.62, 7,212.96 and 1,884.85

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Solution

The fourth proportional to 4,806.62, 7,212.96 and 1,884.85 is: 2,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.62 : 7,212.96 = 1,884.85 : x
  2. Step 2: Convert to fraction form
    4,806.62/7,212.96 = 1,884.85/x
  3. Step 3: Cross multiply
    4,806.62x = 7,212.96 × 1,884.85
  4. Step 4: Simplify right side
    4,806.62x = 13,595,329.62
  5. Step 5: Solve for x
    x = 13,595,329.62/4,806.62
  6. Step 6: Final answer
    x = 2,828.46

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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.