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Finding the Fourth Proportional to 3,829.07, 5,742.13 and 1,488.77

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Solution

The fourth proportional to 3,829.07, 5,742.13 and 1,488.77 is: 2,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.07 : 5,742.13 = 1,488.77 : x
  2. Step 2: Convert to fraction form
    3,829.07/5,742.13 = 1,488.77/x
  3. Step 3: Cross multiply
    3,829.07x = 5,742.13 × 1,488.77
  4. Step 4: Simplify right side
    3,829.07x = 8,548,710.88
  5. Step 5: Solve for x
    x = 8,548,710.88/3,829.07
  6. Step 6: Final answer
    x = 2,232.58

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