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Finding the Fourth Proportional to 3,777.16, 5,664.84 and 1,585.93

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Solution

The fourth proportional to 3,777.16, 5,664.84 and 1,585.93 is: 2,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.16 : 5,664.84 = 1,585.93 : x
  2. Step 2: Convert to fraction form
    3,777.16/5,664.84 = 1,585.93/x
  3. Step 3: Cross multiply
    3,777.16x = 5,664.84 × 1,585.93
  4. Step 4: Simplify right side
    3,777.16x = 8,984,039.70
  5. Step 5: Solve for x
    x = 8,984,039.70/3,777.16
  6. Step 6: Final answer
    x = 2,378.52

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