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Finding the Fourth Proportional to 6,109.68, 8,429.43 and 3,590.99

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Solution

The fourth proportional to 6,109.68, 8,429.43 and 3,590.99 is: 4,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.68 : 8,429.43 = 3,590.99 : x
  2. Step 2: Convert to fraction form
    6,109.68/8,429.43 = 3,590.99/x
  3. Step 3: Cross multiply
    6,109.68x = 8,429.43 × 3,590.99
  4. Step 4: Simplify right side
    6,109.68x = 30,269,998.84
  5. Step 5: Solve for x
    x = 30,269,998.84/6,109.68
  6. Step 6: Final answer
    x = 4,954.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.