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Finding the Fourth Proportional to 5,709.62, 7,880.64 and 3,916.28

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Solution

The fourth proportional to 5,709.62, 7,880.64 and 3,916.28 is: 5,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.62 : 7,880.64 = 3,916.28 : x
  2. Step 2: Convert to fraction form
    5,709.62/7,880.64 = 3,916.28/x
  3. Step 3: Cross multiply
    5,709.62x = 7,880.64 × 3,916.28
  4. Step 4: Simplify right side
    5,709.62x = 30,862,792.82
  5. Step 5: Solve for x
    x = 30,862,792.82/5,709.62
  6. Step 6: Final answer
    x = 5,405.40

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