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Finding the Fourth Proportional to 3,257.94, 4,496.97 and 1,861.62

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Solution

The fourth proportional to 3,257.94, 4,496.97 and 1,861.62 is: 2,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.94 : 4,496.97 = 1,861.62 : x
  2. Step 2: Convert to fraction form
    3,257.94/4,496.97 = 1,861.62/x
  3. Step 3: Cross multiply
    3,257.94x = 4,496.97 × 1,861.62
  4. Step 4: Simplify right side
    3,257.94x = 8,371,649.29
  5. Step 5: Solve for x
    x = 8,371,649.29/3,257.94
  6. Step 6: Final answer
    x = 2,569.61

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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.