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Finding the Fourth Proportional to 6,821.90, 10,232.85 and 3,533.90

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Solution

The fourth proportional to 6,821.90, 10,232.85 and 3,533.90 is: 5,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.90 : 10,232.85 = 3,533.90 : x
  2. Step 2: Convert to fraction form
    6,821.90/10,232.85 = 3,533.90/x
  3. Step 3: Cross multiply
    6,821.90x = 10,232.85 × 3,533.90
  4. Step 4: Simplify right side
    6,821.90x = 36,161,868.62
  5. Step 5: Solve for x
    x = 36,161,868.62/6,821.90
  6. Step 6: Final answer
    x = 5,300.85

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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.