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Finding the Fourth Proportional to 4,159.09, 5,739.55 and 2,296.09

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Solution

The fourth proportional to 4,159.09, 5,739.55 and 2,296.09 is: 3,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.09 : 5,739.55 = 2,296.09 : x
  2. Step 2: Convert to fraction form
    4,159.09/5,739.55 = 2,296.09/x
  3. Step 3: Cross multiply
    4,159.09x = 5,739.55 × 2,296.09
  4. Step 4: Simplify right side
    4,159.09x = 13,178,523.36
  5. Step 5: Solve for x
    x = 13,178,523.36/4,159.09
  6. Step 6: Final answer
    x = 3,168.61

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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.