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Finding the Fourth Proportional to 4,549.68, 6,824.88 and 1,954.80

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Solution

The fourth proportional to 4,549.68, 6,824.88 and 1,954.80 is: 2,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.68 : 6,824.88 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    4,549.68/6,824.88 = 1,954.80/x
  3. Step 3: Cross multiply
    4,549.68x = 6,824.88 × 1,954.80
  4. Step 4: Simplify right side
    4,549.68x = 13,341,275.42
  5. Step 5: Solve for x
    x = 13,341,275.42/4,549.68
  6. Step 6: Final answer
    x = 2,932.35

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