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Finding the Fourth Proportional to 4,567.52, 6,848.82 and 1,605.20

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Solution

The fourth proportional to 4,567.52, 6,848.82 and 1,605.20 is: 2,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.52 : 6,848.82 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    4,567.52/6,848.82 = 1,605.20/x
  3. Step 3: Cross multiply
    4,567.52x = 6,848.82 × 1,605.20
  4. Step 4: Simplify right side
    4,567.52x = 10,993,725.86
  5. Step 5: Solve for x
    x = 10,993,725.86/4,567.52
  6. Step 6: Final answer
    x = 2,406.94

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