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Finding the Fourth Proportional to 4,193.70, 6,285.96 and 1,727.25

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Solution

The fourth proportional to 4,193.70, 6,285.96 and 1,727.25 is: 2,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.70 : 6,285.96 = 1,727.25 : x
  2. Step 2: Convert to fraction form
    4,193.70/6,285.96 = 1,727.25/x
  3. Step 3: Cross multiply
    4,193.70x = 6,285.96 × 1,727.25
  4. Step 4: Simplify right side
    4,193.70x = 10,857,424.41
  5. Step 5: Solve for x
    x = 10,857,424.41/4,193.70
  6. Step 6: Final answer
    x = 2,588.98

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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.