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Finding the Fourth Proportional to 3,639.67, 5,454.94 and 1,557.23

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Solution

The fourth proportional to 3,639.67, 5,454.94 and 1,557.23 is: 2,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.67 : 5,454.94 = 1,557.23 : x
  2. Step 2: Convert to fraction form
    3,639.67/5,454.94 = 1,557.23/x
  3. Step 3: Cross multiply
    3,639.67x = 5,454.94 × 1,557.23
  4. Step 4: Simplify right side
    3,639.67x = 8,494,596.22
  5. Step 5: Solve for x
    x = 8,494,596.22/3,639.67
  6. Step 6: Final answer
    x = 2,333.89

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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.