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Finding the Fourth Proportional to 6,821.80, 9,415.50 and 4,028.20

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Solution

The fourth proportional to 6,821.80, 9,415.50 and 4,028.20 is: 5,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.80 : 9,415.50 = 4,028.20 : x
  2. Step 2: Convert to fraction form
    6,821.80/9,415.50 = 4,028.20/x
  3. Step 3: Cross multiply
    6,821.80x = 9,415.50 × 4,028.20
  4. Step 4: Simplify right side
    6,821.80x = 37,927,517.10
  5. Step 5: Solve for x
    x = 37,927,517.10/6,821.80
  6. Step 6: Final answer
    x = 5,559.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.