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Finding the Fourth Proportional to 4,656.29, 6,982.95 and 1,535.72

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Solution

The fourth proportional to 4,656.29, 6,982.95 and 1,535.72 is: 2,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.29 : 6,982.95 = 1,535.72 : x
  2. Step 2: Convert to fraction form
    4,656.29/6,982.95 = 1,535.72/x
  3. Step 3: Cross multiply
    4,656.29x = 6,982.95 × 1,535.72
  4. Step 4: Simplify right side
    4,656.29x = 10,723,824.90
  5. Step 5: Solve for x
    x = 10,723,824.90/4,656.29
  6. Step 6: Final answer
    x = 2,303.08

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