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Finding the Fourth Proportional to 3,776.91, 5,663.34 and 1,585.05

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Solution

The fourth proportional to 3,776.91, 5,663.34 and 1,585.05 is: 2,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.91 : 5,663.34 = 1,585.05 : x
  2. Step 2: Convert to fraction form
    3,776.91/5,663.34 = 1,585.05/x
  3. Step 3: Cross multiply
    3,776.91x = 5,663.34 × 1,585.05
  4. Step 4: Simplify right side
    3,776.91x = 8,976,677.07
  5. Step 5: Solve for x
    x = 8,976,677.07/3,776.91
  6. Step 6: Final answer
    x = 2,376.73

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