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Finding the Fourth Proportional to 5,706.90, 8,554.50 and 3,628.44

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Solution

The fourth proportional to 5,706.90, 8,554.50 and 3,628.44 is: 5,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.90 : 8,554.50 = 3,628.44 : x
  2. Step 2: Convert to fraction form
    5,706.90/8,554.50 = 3,628.44/x
  3. Step 3: Cross multiply
    5,706.90x = 8,554.50 × 3,628.44
  4. Step 4: Simplify right side
    5,706.90x = 31,039,489.98
  5. Step 5: Solve for x
    x = 31,039,489.98/5,706.90
  6. Step 6: Final answer
    x = 5,438.94

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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.