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Finding the Fourth Proportional to 4,654.39, 6,982.43 and 1,534.58

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Solution

The fourth proportional to 4,654.39, 6,982.43 and 1,534.58 is: 2,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.39 : 6,982.43 = 1,534.58 : x
  2. Step 2: Convert to fraction form
    4,654.39/6,982.43 = 1,534.58/x
  3. Step 3: Cross multiply
    4,654.39x = 6,982.43 × 1,534.58
  4. Step 4: Simplify right side
    4,654.39x = 10,715,062.52
  5. Step 5: Solve for x
    x = 10,715,062.52/4,654.39
  6. Step 6: Final answer
    x = 2,302.14

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