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Finding the Fourth Proportional to 3,643.40, 5,456.88 and 2,552.63

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Solution

The fourth proportional to 3,643.40, 5,456.88 and 2,552.63 is: 3,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.40 : 5,456.88 = 2,552.63 : x
  2. Step 2: Convert to fraction form
    3,643.40/5,456.88 = 2,552.63/x
  3. Step 3: Cross multiply
    3,643.40x = 5,456.88 × 2,552.63
  4. Step 4: Simplify right side
    3,643.40x = 13,929,402.86
  5. Step 5: Solve for x
    x = 13,929,402.86/3,643.40
  6. Step 6: Final answer
    x = 3,823.19

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