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Finding the Fourth Proportional to 3,533.73, 5,295.48 and 1,949.06

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Solution

The fourth proportional to 3,533.73, 5,295.48 and 1,949.06 is: 2,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.73 : 5,295.48 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    3,533.73/5,295.48 = 1,949.06/x
  3. Step 3: Cross multiply
    3,533.73x = 5,295.48 × 1,949.06
  4. Step 4: Simplify right side
    3,533.73x = 10,321,214.18
  5. Step 5: Solve for x
    x = 10,321,214.18/3,533.73
  6. Step 6: Final answer
    x = 2,920.77

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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.