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Finding the Fourth Proportional to 5,107.68, 7,659.36 and 1,596.74

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Solution

The fourth proportional to 5,107.68, 7,659.36 and 1,596.74 is: 2,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.68 : 7,659.36 = 1,596.74 : x
  2. Step 2: Convert to fraction form
    5,107.68/7,659.36 = 1,596.74/x
  3. Step 3: Cross multiply
    5,107.68x = 7,659.36 × 1,596.74
  4. Step 4: Simplify right side
    5,107.68x = 12,230,042.37
  5. Step 5: Solve for x
    x = 12,230,042.37/5,107.68
  6. Step 6: Final answer
    x = 2,394.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.