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Finding the Fourth Proportional to 4,854.24, 7,282.80 and 1,567.80

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Solution

The fourth proportional to 4,854.24, 7,282.80 and 1,567.80 is: 2,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.24 : 7,282.80 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    4,854.24/7,282.80 = 1,567.80/x
  3. Step 3: Cross multiply
    4,854.24x = 7,282.80 × 1,567.80
  4. Step 4: Simplify right side
    4,854.24x = 11,417,973.84
  5. Step 5: Solve for x
    x = 11,417,973.84/4,854.24
  6. Step 6: Final answer
    x = 2,352.17

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