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Finding the Fourth Proportional to 5,912.25, 8,158.81 and 3,259.91

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Solution

The fourth proportional to 5,912.25, 8,158.81 and 3,259.91 is: 4,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.25 : 8,158.81 = 3,259.91 : x
  2. Step 2: Convert to fraction form
    5,912.25/8,158.81 = 3,259.91/x
  3. Step 3: Cross multiply
    5,912.25x = 8,158.81 × 3,259.91
  4. Step 4: Simplify right side
    5,912.25x = 26,596,986.31
  5. Step 5: Solve for x
    x = 26,596,986.31/5,912.25
  6. Step 6: Final answer
    x = 4,498.62

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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.