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Finding the Fourth Proportional to 3,481.47, 4,804.38 and 2,155.50

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Solution

The fourth proportional to 3,481.47, 4,804.38 and 2,155.50 is: 2,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.47 : 4,804.38 = 2,155.50 : x
  2. Step 2: Convert to fraction form
    3,481.47/4,804.38 = 2,155.50/x
  3. Step 3: Cross multiply
    3,481.47x = 4,804.38 × 2,155.50
  4. Step 4: Simplify right side
    3,481.47x = 10,355,841.09
  5. Step 5: Solve for x
    x = 10,355,841.09/3,481.47
  6. Step 6: Final answer
    x = 2,974.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.