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Finding the Fourth Proportional to 3,774.86, 5,662.41 and 1,585.12

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Solution

The fourth proportional to 3,774.86, 5,662.41 and 1,585.12 is: 2,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.86 : 5,662.41 = 1,585.12 : x
  2. Step 2: Convert to fraction form
    3,774.86/5,662.41 = 1,585.12/x
  3. Step 3: Cross multiply
    3,774.86x = 5,662.41 × 1,585.12
  4. Step 4: Simplify right side
    3,774.86x = 8,975,599.34
  5. Step 5: Solve for x
    x = 8,975,599.34/3,774.86
  6. Step 6: Final answer
    x = 2,377.73

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