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Finding the Fourth Proportional to 4,566.18, 6,849.18 and 1,646.40

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Solution

The fourth proportional to 4,566.18, 6,849.18 and 1,646.40 is: 2,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.18 : 6,849.18 = 1,646.40 : x
  2. Step 2: Convert to fraction form
    4,566.18/6,849.18 = 1,646.40/x
  3. Step 3: Cross multiply
    4,566.18x = 6,849.18 × 1,646.40
  4. Step 4: Simplify right side
    4,566.18x = 11,276,489.95
  5. Step 5: Solve for x
    x = 11,276,489.95/4,566.18
  6. Step 6: Final answer
    x = 2,469.57

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