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Finding the Fourth Proportional to 3,884.40, 5,815.17 and 2,565.72

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Solution

The fourth proportional to 3,884.40, 5,815.17 and 2,565.72 is: 3,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.40 : 5,815.17 = 2,565.72 : x
  2. Step 2: Convert to fraction form
    3,884.40/5,815.17 = 2,565.72/x
  3. Step 3: Cross multiply
    3,884.40x = 5,815.17 × 2,565.72
  4. Step 4: Simplify right side
    3,884.40x = 14,920,097.97
  5. Step 5: Solve for x
    x = 14,920,097.97/3,884.40
  6. Step 6: Final answer
    x = 3,841.03

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