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Finding the Fourth Proportional to 5,706.89, 8,564.36 and 3,732.44

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Solution

The fourth proportional to 5,706.89, 8,564.36 and 3,732.44 is: 5,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.89 : 8,564.36 = 3,732.44 : x
  2. Step 2: Convert to fraction form
    5,706.89/8,564.36 = 3,732.44/x
  3. Step 3: Cross multiply
    5,706.89x = 8,564.36 × 3,732.44
  4. Step 4: Simplify right side
    5,706.89x = 31,965,898.35
  5. Step 5: Solve for x
    x = 31,965,898.35/5,706.89
  6. Step 6: Final answer
    x = 5,601.29

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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.