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Finding the Fourth Proportional to 3,844.96, 5,763.79 and 1,894.88

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Solution

The fourth proportional to 3,844.96, 5,763.79 and 1,894.88 is: 2,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.96 : 5,763.79 = 1,894.88 : x
  2. Step 2: Convert to fraction form
    3,844.96/5,763.79 = 1,894.88/x
  3. Step 3: Cross multiply
    3,844.96x = 5,763.79 × 1,894.88
  4. Step 4: Simplify right side
    3,844.96x = 10,921,690.40
  5. Step 5: Solve for x
    x = 10,921,690.40/3,844.96
  6. Step 6: Final answer
    x = 2,840.52

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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.