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Finding the Fourth Proportional to 3,829.16, 5,746.02 and 3,586.20

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Solution

The fourth proportional to 3,829.16, 5,746.02 and 3,586.20 is: 5,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.16 : 5,746.02 = 3,586.20 : x
  2. Step 2: Convert to fraction form
    3,829.16/5,746.02 = 3,586.20/x
  3. Step 3: Cross multiply
    3,829.16x = 5,746.02 × 3,586.20
  4. Step 4: Simplify right side
    3,829.16x = 20,606,376.92
  5. Step 5: Solve for x
    x = 20,606,376.92/3,829.16
  6. Step 6: Final answer
    x = 5,381.44

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