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Finding the Fourth Proportional to 5,405.39, 8,109.17 and 2,285.39

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Solution

The fourth proportional to 5,405.39, 8,109.17 and 2,285.39 is: 3,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.39 : 8,109.17 = 2,285.39 : x
  2. Step 2: Convert to fraction form
    5,405.39/8,109.17 = 2,285.39/x
  3. Step 3: Cross multiply
    5,405.39x = 8,109.17 × 2,285.39
  4. Step 4: Simplify right side
    5,405.39x = 18,532,581.19
  5. Step 5: Solve for x
    x = 18,532,581.19/5,405.39
  6. Step 6: Final answer
    x = 3,428.54

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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.