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Finding the Fourth Proportional to 5,606.85, 8,410.26 and 3,109.56

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Solution

The fourth proportional to 5,606.85, 8,410.26 and 3,109.56 is: 4,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.85 : 8,410.26 = 3,109.56 : x
  2. Step 2: Convert to fraction form
    5,606.85/8,410.26 = 3,109.56/x
  3. Step 3: Cross multiply
    5,606.85x = 8,410.26 × 3,109.56
  4. Step 4: Simplify right side
    5,606.85x = 26,152,208.09
  5. Step 5: Solve for x
    x = 26,152,208.09/5,606.85
  6. Step 6: Final answer
    x = 4,664.33

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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.