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Finding the Fourth Proportional to 3,765.29, 5,646.00 and 2,205.63

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Solution

The fourth proportional to 3,765.29, 5,646.00 and 2,205.63 is: 3,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.29 : 5,646.00 = 2,205.63 : x
  2. Step 2: Convert to fraction form
    3,765.29/5,646.00 = 2,205.63/x
  3. Step 3: Cross multiply
    3,765.29x = 5,646.00 × 2,205.63
  4. Step 4: Simplify right side
    3,765.29x = 12,452,995.25
  5. Step 5: Solve for x
    x = 12,452,995.25/3,765.29
  6. Step 6: Final answer
    x = 3,307.32

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