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Finding the Fourth Proportional to 3,835.80, 5,752.94 and 1,886.76

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Solution

The fourth proportional to 3,835.80, 5,752.94 and 1,886.76 is: 2,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.80 : 5,752.94 = 1,886.76 : x
  2. Step 2: Convert to fraction form
    3,835.80/5,752.94 = 1,886.76/x
  3. Step 3: Cross multiply
    3,835.80x = 5,752.94 × 1,886.76
  4. Step 4: Simplify right side
    3,835.80x = 10,854,417.07
  5. Step 5: Solve for x
    x = 10,854,417.07/3,835.80
  6. Step 6: Final answer
    x = 2,829.77

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