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Finding the Fourth Proportional to 3,846.70, 5,768.76 and 1,249

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Solution

The fourth proportional to 3,846.70, 5,768.76 and 1,249 is: 1,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.70 : 5,768.76 = 1,249 : x
  2. Step 2: Convert to fraction form
    3,846.70/5,768.76 = 1,249/x
  3. Step 3: Cross multiply
    3,846.70x = 5,768.76 × 1,249
  4. Step 4: Simplify right side
    3,846.70x = 7,205,181.24
  5. Step 5: Solve for x
    x = 7,205,181.24/3,846.70
  6. Step 6: Final answer
    x = 1,873.08

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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.