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Finding the Fourth Proportional to 3,365.92, 4,644.26 and 1,949.52

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Solution

The fourth proportional to 3,365.92, 4,644.26 and 1,949.52 is: 2,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.92 : 4,644.26 = 1,949.52 : x
  2. Step 2: Convert to fraction form
    3,365.92/4,644.26 = 1,949.52/x
  3. Step 3: Cross multiply
    3,365.92x = 4,644.26 × 1,949.52
  4. Step 4: Simplify right side
    3,365.92x = 9,054,077.76
  5. Step 5: Solve for x
    x = 9,054,077.76/3,365.92
  6. Step 6: Final answer
    x = 2,689.93

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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.