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Finding the Fourth Proportional to 4,780.80, 7,171.20 and 3,322.80

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Solution

The fourth proportional to 4,780.80, 7,171.20 and 3,322.80 is: 4,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.80 : 7,171.20 = 3,322.80 : x
  2. Step 2: Convert to fraction form
    4,780.80/7,171.20 = 3,322.80/x
  3. Step 3: Cross multiply
    4,780.80x = 7,171.20 × 3,322.80
  4. Step 4: Simplify right side
    4,780.80x = 23,828,463.36
  5. Step 5: Solve for x
    x = 23,828,463.36/4,780.80
  6. Step 6: Final answer
    x = 4,984.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.