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Finding the Fourth Proportional to 4,345.82, 6,502.46 and 2,584.40

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Solution

The fourth proportional to 4,345.82, 6,502.46 and 2,584.40 is: 3,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.82 : 6,502.46 = 2,584.40 : x
  2. Step 2: Convert to fraction form
    4,345.82/6,502.46 = 2,584.40/x
  3. Step 3: Cross multiply
    4,345.82x = 6,502.46 × 2,584.40
  4. Step 4: Simplify right side
    4,345.82x = 16,804,957.62
  5. Step 5: Solve for x
    x = 16,804,957.62/4,345.82
  6. Step 6: Final answer
    x = 3,866.92

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