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Finding the Fourth Proportional to 5,706.45, 8,554.82 and 3,976.29

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Solution

The fourth proportional to 5,706.45, 8,554.82 and 3,976.29 is: 5,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.45 : 8,554.82 = 3,976.29 : x
  2. Step 2: Convert to fraction form
    5,706.45/8,554.82 = 3,976.29/x
  3. Step 3: Cross multiply
    5,706.45x = 8,554.82 × 3,976.29
  4. Step 4: Simplify right side
    5,706.45x = 34,016,425.34
  5. Step 5: Solve for x
    x = 34,016,425.34/5,706.45
  6. Step 6: Final answer
    x = 5,961.05

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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.