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Finding the Fourth Proportional to 3,894.08, 5,842.68 and 1,585.04

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Solution

The fourth proportional to 3,894.08, 5,842.68 and 1,585.04 is: 2,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.08 : 5,842.68 = 1,585.04 : x
  2. Step 2: Convert to fraction form
    3,894.08/5,842.68 = 1,585.04/x
  3. Step 3: Cross multiply
    3,894.08x = 5,842.68 × 1,585.04
  4. Step 4: Simplify right side
    3,894.08x = 9,260,881.51
  5. Step 5: Solve for x
    x = 9,260,881.51/3,894.08
  6. Step 6: Final answer
    x = 2,378.19

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