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Finding the Fourth Proportional to 3,805.40, 5,706.54 and 1,172.27

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Solution

The fourth proportional to 3,805.40, 5,706.54 and 1,172.27 is: 1,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.40 : 5,706.54 = 1,172.27 : x
  2. Step 2: Convert to fraction form
    3,805.40/5,706.54 = 1,172.27/x
  3. Step 3: Cross multiply
    3,805.40x = 5,706.54 × 1,172.27
  4. Step 4: Simplify right side
    3,805.40x = 6,689,619.91
  5. Step 5: Solve for x
    x = 6,689,619.91/3,805.40
  6. Step 6: Final answer
    x = 1,757.93

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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.