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Finding the Fourth Proportional to 3,705.48, 5,547.41 and 1,946.31

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Solution

The fourth proportional to 3,705.48, 5,547.41 and 1,946.31 is: 2,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.48 : 5,547.41 = 1,946.31 : x
  2. Step 2: Convert to fraction form
    3,705.48/5,547.41 = 1,946.31/x
  3. Step 3: Cross multiply
    3,705.48x = 5,547.41 × 1,946.31
  4. Step 4: Simplify right side
    3,705.48x = 10,796,969.83
  5. Step 5: Solve for x
    x = 10,796,969.83/3,705.48
  6. Step 6: Final answer
    x = 2,913.78

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