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Finding the Fourth Proportional to 4,961.82, 7,442.76 and 1,674.94

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Solution

The fourth proportional to 4,961.82, 7,442.76 and 1,674.94 is: 2,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.82 : 7,442.76 = 1,674.94 : x
  2. Step 2: Convert to fraction form
    4,961.82/7,442.76 = 1,674.94/x
  3. Step 3: Cross multiply
    4,961.82x = 7,442.76 × 1,674.94
  4. Step 4: Simplify right side
    4,961.82x = 12,466,176.43
  5. Step 5: Solve for x
    x = 12,466,176.43/4,961.82
  6. Step 6: Final answer
    x = 2,512.42

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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.