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Finding the Fourth Proportional to 5,912.29, 8,159.02 and 3,259.80

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Solution

The fourth proportional to 5,912.29, 8,159.02 and 3,259.80 is: 4,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.29 : 8,159.02 = 3,259.80 : x
  2. Step 2: Convert to fraction form
    5,912.29/8,159.02 = 3,259.80/x
  3. Step 3: Cross multiply
    5,912.29x = 8,159.02 × 3,259.80
  4. Step 4: Simplify right side
    5,912.29x = 26,596,773.40
  5. Step 5: Solve for x
    x = 26,596,773.40/5,912.29
  6. Step 6: Final answer
    x = 4,498.56

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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.