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Finding the Fourth Proportional to 4,961.95, 7,444.17 and 1,842.85

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Solution

The fourth proportional to 4,961.95, 7,444.17 and 1,842.85 is: 2,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.95 : 7,444.17 = 1,842.85 : x
  2. Step 2: Convert to fraction form
    4,961.95/7,444.17 = 1,842.85/x
  3. Step 3: Cross multiply
    4,961.95x = 7,444.17 × 1,842.85
  4. Step 4: Simplify right side
    4,961.95x = 13,718,442.25
  5. Step 5: Solve for x
    x = 13,718,442.25/4,961.95
  6. Step 6: Final answer
    x = 2,764.73

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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.