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Finding the Fourth Proportional to 4,961.76, 7,441.94 and 1,674.42

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Solution

The fourth proportional to 4,961.76, 7,441.94 and 1,674.42 is: 2,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.76 : 7,441.94 = 1,674.42 : x
  2. Step 2: Convert to fraction form
    4,961.76/7,441.94 = 1,674.42/x
  3. Step 3: Cross multiply
    4,961.76x = 7,441.94 × 1,674.42
  4. Step 4: Simplify right side
    4,961.76x = 12,460,924.80
  5. Step 5: Solve for x
    x = 12,460,924.80/4,961.76
  6. Step 6: Final answer
    x = 2,511.39

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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.