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Finding the Fourth Proportional to 5,696.76, 8,546.30 and 3,232.76

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Solution

The fourth proportional to 5,696.76, 8,546.30 and 3,232.76 is: 4,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.76 : 8,546.30 = 3,232.76 : x
  2. Step 2: Convert to fraction form
    5,696.76/8,546.30 = 3,232.76/x
  3. Step 3: Cross multiply
    5,696.76x = 8,546.30 × 3,232.76
  4. Step 4: Simplify right side
    5,696.76x = 27,628,136.79
  5. Step 5: Solve for x
    x = 27,628,136.79/5,696.76
  6. Step 6: Final answer
    x = 4,849.80

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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.