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Finding the Fourth Proportional to 3,934.51, 5,902.62 and 1,160.95

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Solution

The fourth proportional to 3,934.51, 5,902.62 and 1,160.95 is: 1,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.51 : 5,902.62 = 1,160.95 : x
  2. Step 2: Convert to fraction form
    3,934.51/5,902.62 = 1,160.95/x
  3. Step 3: Cross multiply
    3,934.51x = 5,902.62 × 1,160.95
  4. Step 4: Simplify right side
    3,934.51x = 6,852,646.69
  5. Step 5: Solve for x
    x = 6,852,646.69/3,934.51
  6. Step 6: Final answer
    x = 1,741.68

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