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Finding the Fourth Proportional to 4,656.00, 6,982.51 and 1,535.42

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Solution

The fourth proportional to 4,656.00, 6,982.51 and 1,535.42 is: 2,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.00 : 6,982.51 = 1,535.42 : x
  2. Step 2: Convert to fraction form
    4,656.00/6,982.51 = 1,535.42/x
  3. Step 3: Cross multiply
    4,656.00x = 6,982.51 × 1,535.42
  4. Step 4: Simplify right side
    4,656.00x = 10,721,102.96
  5. Step 5: Solve for x
    x = 10,721,102.96/4,656.00
  6. Step 6: Final answer
    x = 2,302.64

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