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Finding the Fourth Proportional to 3,926.88, 5,888.86 and 1,585.62

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Solution

The fourth proportional to 3,926.88, 5,888.86 and 1,585.62 is: 2,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.88 : 5,888.86 = 1,585.62 : x
  2. Step 2: Convert to fraction form
    3,926.88/5,888.86 = 1,585.62/x
  3. Step 3: Cross multiply
    3,926.88x = 5,888.86 × 1,585.62
  4. Step 4: Simplify right side
    3,926.88x = 9,337,490.23
  5. Step 5: Solve for x
    x = 9,337,490.23/3,926.88
  6. Step 6: Final answer
    x = 2,377.84

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