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Finding the Fourth Proportional to 3,829.67, 5,746.77 and 3,586.70

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Solution

The fourth proportional to 3,829.67, 5,746.77 and 3,586.70 is: 5,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.67 : 5,746.77 = 3,586.70 : x
  2. Step 2: Convert to fraction form
    3,829.67/5,746.77 = 3,586.70/x
  3. Step 3: Cross multiply
    3,829.67x = 5,746.77 × 3,586.70
  4. Step 4: Simplify right side
    3,829.67x = 20,611,911.23
  5. Step 5: Solve for x
    x = 20,611,911.23/3,829.67
  6. Step 6: Final answer
    x = 5,382.17

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