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Finding the Fourth Proportional to 3,926.25, 5,888.69 and 1,585.67

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Solution

The fourth proportional to 3,926.25, 5,888.69 and 1,585.67 is: 2,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.25 : 5,888.69 = 1,585.67 : x
  2. Step 2: Convert to fraction form
    3,926.25/5,888.69 = 1,585.67/x
  3. Step 3: Cross multiply
    3,926.25x = 5,888.69 × 1,585.67
  4. Step 4: Simplify right side
    3,926.25x = 9,337,481.70
  5. Step 5: Solve for x
    x = 9,337,481.70/3,926.25
  6. Step 6: Final answer
    x = 2,378.22

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