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Finding the Fourth Proportional to 5,409.80, 8,109.90 and 3,216.20

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Solution

The fourth proportional to 5,409.80, 8,109.90 and 3,216.20 is: 4,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.80 : 8,109.90 = 3,216.20 : x
  2. Step 2: Convert to fraction form
    5,409.80/8,109.90 = 3,216.20/x
  3. Step 3: Cross multiply
    5,409.80x = 8,109.90 × 3,216.20
  4. Step 4: Simplify right side
    5,409.80x = 26,083,060.38
  5. Step 5: Solve for x
    x = 26,083,060.38/5,409.80
  6. Step 6: Final answer
    x = 4,821.45

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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.