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Finding the Fourth Proportional to 3,298.69, 4,941.83 and 2,564.70

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Solution

The fourth proportional to 3,298.69, 4,941.83 and 2,564.70 is: 3,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.69 : 4,941.83 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    3,298.69/4,941.83 = 2,564.70/x
  3. Step 3: Cross multiply
    3,298.69x = 4,941.83 × 2,564.70
  4. Step 4: Simplify right side
    3,298.69x = 12,674,273.87
  5. Step 5: Solve for x
    x = 12,674,273.87/3,298.69
  6. Step 6: Final answer
    x = 3,842.21

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