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Finding the Fourth Proportional to 3,967.94, 5,474.88 and 2,396.00

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Solution

The fourth proportional to 3,967.94, 5,474.88 and 2,396.00 is: 3,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.94 : 5,474.88 = 2,396.00 : x
  2. Step 2: Convert to fraction form
    3,967.94/5,474.88 = 2,396.00/x
  3. Step 3: Cross multiply
    3,967.94x = 5,474.88 × 2,396.00
  4. Step 4: Simplify right side
    3,967.94x = 13,117,785.11
  5. Step 5: Solve for x
    x = 13,117,785.11/3,967.94
  6. Step 6: Final answer
    x = 3,305.95

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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.