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Finding the Fourth Proportional to 3,869.16, 5,804.14 and 1,678.10

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Solution

The fourth proportional to 3,869.16, 5,804.14 and 1,678.10 is: 2,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.16 : 5,804.14 = 1,678.10 : x
  2. Step 2: Convert to fraction form
    3,869.16/5,804.14 = 1,678.10/x
  3. Step 3: Cross multiply
    3,869.16x = 5,804.14 × 1,678.10
  4. Step 4: Simplify right side
    3,869.16x = 9,739,927.33
  5. Step 5: Solve for x
    x = 9,739,927.33/3,869.16
  6. Step 6: Final answer
    x = 2,517.32

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