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Finding the Fourth Proportional to 4,656.87, 6,985.64 and 1,536.75

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Solution

The fourth proportional to 4,656.87, 6,985.64 and 1,536.75 is: 2,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.87 : 6,985.64 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    4,656.87/6,985.64 = 1,536.75/x
  3. Step 3: Cross multiply
    4,656.87x = 6,985.64 × 1,536.75
  4. Step 4: Simplify right side
    4,656.87x = 10,735,166.46
  5. Step 5: Solve for x
    x = 10,735,166.46/4,656.87
  6. Step 6: Final answer
    x = 2,305.23

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