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Finding the Fourth Proportional to 3,474.98, 4,796.16 and 2,414.96

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Solution

The fourth proportional to 3,474.98, 4,796.16 and 2,414.96 is: 3,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.98 : 4,796.16 = 2,414.96 : x
  2. Step 2: Convert to fraction form
    3,474.98/4,796.16 = 2,414.96/x
  3. Step 3: Cross multiply
    3,474.98x = 4,796.16 × 2,414.96
  4. Step 4: Simplify right side
    3,474.98x = 11,582,534.55
  5. Step 5: Solve for x
    x = 11,582,534.55/3,474.98
  6. Step 6: Final answer
    x = 3,333.12

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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.