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Finding the Fourth Proportional to 3,298.94, 4,942.20 and 2,564.95

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Solution

The fourth proportional to 3,298.94, 4,942.20 and 2,564.95 is: 3,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.94 : 4,942.20 = 2,564.95 : x
  2. Step 2: Convert to fraction form
    3,298.94/4,942.20 = 2,564.95/x
  3. Step 3: Cross multiply
    3,298.94x = 4,942.20 × 2,564.95
  4. Step 4: Simplify right side
    3,298.94x = 12,676,495.89
  5. Step 5: Solve for x
    x = 12,676,495.89/3,298.94
  6. Step 6: Final answer
    x = 3,842.60

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