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Finding the Fourth Proportional to 5,405.65, 8,108.19 and 3,817.84

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Solution

The fourth proportional to 5,405.65, 8,108.19 and 3,817.84 is: 5,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.65 : 8,108.19 = 3,817.84 : x
  2. Step 2: Convert to fraction form
    5,405.65/8,108.19 = 3,817.84/x
  3. Step 3: Cross multiply
    5,405.65x = 8,108.19 × 3,817.84
  4. Step 4: Simplify right side
    5,405.65x = 30,955,769.82
  5. Step 5: Solve for x
    x = 30,955,769.82/5,405.65
  6. Step 6: Final answer
    x = 5,726.56

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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.