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Finding the Fourth Proportional to 3,547.82, 5,324.57 and 1,600.17

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Solution

The fourth proportional to 3,547.82, 5,324.57 and 1,600.17 is: 2,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.82 : 5,324.57 = 1,600.17 : x
  2. Step 2: Convert to fraction form
    3,547.82/5,324.57 = 1,600.17/x
  3. Step 3: Cross multiply
    3,547.82x = 5,324.57 × 1,600.17
  4. Step 4: Simplify right side
    3,547.82x = 8,520,209.18
  5. Step 5: Solve for x
    x = 8,520,209.18/3,547.82
  6. Step 6: Final answer
    x = 2,401.54

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