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Finding the Fourth Proportional to 4,638.40, 6,957.84 and 2,265.76

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Solution

The fourth proportional to 4,638.40, 6,957.84 and 2,265.76 is: 3,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.40 : 6,957.84 = 2,265.76 : x
  2. Step 2: Convert to fraction form
    4,638.40/6,957.84 = 2,265.76/x
  3. Step 3: Cross multiply
    4,638.40x = 6,957.84 × 2,265.76
  4. Step 4: Simplify right side
    4,638.40x = 15,764,795.56
  5. Step 5: Solve for x
    x = 15,764,795.56/4,638.40
  6. Step 6: Final answer
    x = 3,398.76

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