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Finding the Fourth Proportional to 3,409.61, 5,109.68 and 1,556.09

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Solution

The fourth proportional to 3,409.61, 5,109.68 and 1,556.09 is: 2,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.61 : 5,109.68 = 1,556.09 : x
  2. Step 2: Convert to fraction form
    3,409.61/5,109.68 = 1,556.09/x
  3. Step 3: Cross multiply
    3,409.61x = 5,109.68 × 1,556.09
  4. Step 4: Simplify right side
    3,409.61x = 7,951,114.17
  5. Step 5: Solve for x
    x = 7,951,114.17/3,409.61
  6. Step 6: Final answer
    x = 2,331.97

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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.