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Finding the Fourth Proportional to 3,844, 5,768.56 and 1,412

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Solution

The fourth proportional to 3,844, 5,768.56 and 1,412 is: 2,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 5,768.56 = 1,412 : x
  2. Step 2: Convert to fraction form
    3,844/5,768.56 = 1,412/x
  3. Step 3: Cross multiply
    3,844x = 5,768.56 × 1,412
  4. Step 4: Simplify right side
    3,844x = 8,145,206.72
  5. Step 5: Solve for x
    x = 8,145,206.72/3,844
  6. Step 6: Final answer
    x = 2,118.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.