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Finding the Fourth Proportional to 4,824.80, 7,237.02 and 1,537.80

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Solution

The fourth proportional to 4,824.80, 7,237.02 and 1,537.80 is: 2,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.80 : 7,237.02 = 1,537.80 : x
  2. Step 2: Convert to fraction form
    4,824.80/7,237.02 = 1,537.80/x
  3. Step 3: Cross multiply
    4,824.80x = 7,237.02 × 1,537.80
  4. Step 4: Simplify right side
    4,824.80x = 11,129,089.36
  5. Step 5: Solve for x
    x = 11,129,089.36/4,824.80
  6. Step 6: Final answer
    x = 2,306.64

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