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Finding the Fourth Proportional to 3,502.16, 5,253.54 and 1,161.66

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Solution

The fourth proportional to 3,502.16, 5,253.54 and 1,161.66 is: 1,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.16 : 5,253.54 = 1,161.66 : x
  2. Step 2: Convert to fraction form
    3,502.16/5,253.54 = 1,161.66/x
  3. Step 3: Cross multiply
    3,502.16x = 5,253.54 × 1,161.66
  4. Step 4: Simplify right side
    3,502.16x = 6,102,821.47
  5. Step 5: Solve for x
    x = 6,102,821.47/3,502.16
  6. Step 6: Final answer
    x = 1,742.59

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