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Finding the Fourth Proportional to 3,827.18, 5,740.83 and 1,053.83

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Solution

The fourth proportional to 3,827.18, 5,740.83 and 1,053.83 is: 1,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.18 : 5,740.83 = 1,053.83 : x
  2. Step 2: Convert to fraction form
    3,827.18/5,740.83 = 1,053.83/x
  3. Step 3: Cross multiply
    3,827.18x = 5,740.83 × 1,053.83
  4. Step 4: Simplify right side
    3,827.18x = 6,049,830.17
  5. Step 5: Solve for x
    x = 6,049,830.17/3,827.18
  6. Step 6: Final answer
    x = 1,580.76

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