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Finding the Fourth Proportional to 5,022.80, 7,537.80 and 2,829.20

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Solution

The fourth proportional to 5,022.80, 7,537.80 and 2,829.20 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.80 : 7,537.80 = 2,829.20 : x
  2. Step 2: Convert to fraction form
    5,022.80/7,537.80 = 2,829.20/x
  3. Step 3: Cross multiply
    5,022.80x = 7,537.80 × 2,829.20
  4. Step 4: Simplify right side
    5,022.80x = 21,325,943.76
  5. Step 5: Solve for x
    x = 21,325,943.76/5,022.80
  6. Step 6: Final answer
    x = 4,245.83

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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.