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Finding the Fourth Proportional to 2,705.76, 4,036.50 and 2,581.92

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Solution

The fourth proportional to 2,705.76, 4,036.50 and 2,581.92 is: 3,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.76 : 4,036.50 = 2,581.92 : x
  2. Step 2: Convert to fraction form
    2,705.76/4,036.50 = 2,581.92/x
  3. Step 3: Cross multiply
    2,705.76x = 4,036.50 × 2,581.92
  4. Step 4: Simplify right side
    2,705.76x = 10,421,920.08
  5. Step 5: Solve for x
    x = 10,421,920.08/2,705.76
  6. Step 6: Final answer
    x = 3,851.75

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