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Finding the Fourth Proportional to 3,916.80, 5,872.80 and 1,966.32

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Solution

The fourth proportional to 3,916.80, 5,872.80 and 1,966.32 is: 2,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.80 : 5,872.80 = 1,966.32 : x
  2. Step 2: Convert to fraction form
    3,916.80/5,872.80 = 1,966.32/x
  3. Step 3: Cross multiply
    3,916.80x = 5,872.80 × 1,966.32
  4. Step 4: Simplify right side
    3,916.80x = 11,547,804.10
  5. Step 5: Solve for x
    x = 11,547,804.10/3,916.80
  6. Step 6: Final answer
    x = 2,948.28

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