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Finding the Fourth Proportional to 3,709.53, 5,586.30 and 3,228.39

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Solution

The fourth proportional to 3,709.53, 5,586.30 and 3,228.39 is: 4,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.53 : 5,586.30 = 3,228.39 : x
  2. Step 2: Convert to fraction form
    3,709.53/5,586.30 = 3,228.39/x
  3. Step 3: Cross multiply
    3,709.53x = 5,586.30 × 3,228.39
  4. Step 4: Simplify right side
    3,709.53x = 18,034,755.06
  5. Step 5: Solve for x
    x = 18,034,755.06/3,709.53
  6. Step 6: Final answer
    x = 4,861.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.