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Finding the Fourth Proportional to 3,827.21, 5,740.71 and 1,053.86

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Solution

The fourth proportional to 3,827.21, 5,740.71 and 1,053.86 is: 1,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.21 : 5,740.71 = 1,053.86 : x
  2. Step 2: Convert to fraction form
    3,827.21/5,740.71 = 1,053.86/x
  3. Step 3: Cross multiply
    3,827.21x = 5,740.71 × 1,053.86
  4. Step 4: Simplify right side
    3,827.21x = 6,049,875.94
  5. Step 5: Solve for x
    x = 6,049,875.94/3,827.21
  6. Step 6: Final answer
    x = 1,580.76

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