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Finding the Fourth Proportional to 6,123.57, 8,450.51 and 3,639.57

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Solution

The fourth proportional to 6,123.57, 8,450.51 and 3,639.57 is: 5,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.57 : 8,450.51 = 3,639.57 : x
  2. Step 2: Convert to fraction form
    6,123.57/8,450.51 = 3,639.57/x
  3. Step 3: Cross multiply
    6,123.57x = 8,450.51 × 3,639.57
  4. Step 4: Simplify right side
    6,123.57x = 30,756,222.68
  5. Step 5: Solve for x
    x = 30,756,222.68/6,123.57
  6. Step 6: Final answer
    x = 5,022.60

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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.