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Finding the Fourth Proportional to 3,974.74, 5,970.75 and 2,678.74

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Solution

The fourth proportional to 3,974.74, 5,970.75 and 2,678.74 is: 4,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.74 : 5,970.75 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    3,974.74/5,970.75 = 2,678.74/x
  3. Step 3: Cross multiply
    3,974.74x = 5,970.75 × 2,678.74
  4. Step 4: Simplify right side
    3,974.74x = 15,994,086.86
  5. Step 5: Solve for x
    x = 15,994,086.86/3,974.74
  6. Step 6: Final answer
    x = 4,023.93

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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.