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Finding the Fourth Proportional to 5,912.39, 8,159.10 and 3,259.74

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Solution

The fourth proportional to 5,912.39, 8,159.10 and 3,259.74 is: 4,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.39 : 8,159.10 = 3,259.74 : x
  2. Step 2: Convert to fraction form
    5,912.39/8,159.10 = 3,259.74/x
  3. Step 3: Cross multiply
    5,912.39x = 8,159.10 × 3,259.74
  4. Step 4: Simplify right side
    5,912.39x = 26,596,563.01
  5. Step 5: Solve for x
    x = 26,596,563.01/5,912.39
  6. Step 6: Final answer
    x = 4,498.44

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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.