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Finding the Fourth Proportional to 4,961.76, 6,846.96 and 2,865.84

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Solution

The fourth proportional to 4,961.76, 6,846.96 and 2,865.84 is: 3,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.76 : 6,846.96 = 2,865.84 : x
  2. Step 2: Convert to fraction form
    4,961.76/6,846.96 = 2,865.84/x
  3. Step 3: Cross multiply
    4,961.76x = 6,846.96 × 2,865.84
  4. Step 4: Simplify right side
    4,961.76x = 19,622,291.85
  5. Step 5: Solve for x
    x = 19,622,291.85/4,961.76
  6. Step 6: Final answer
    x = 3,954.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.