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Finding the Fourth Proportional to 5,211.57, 7,189.29 and 3,532.41

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Solution

The fourth proportional to 5,211.57, 7,189.29 and 3,532.41 is: 4,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.57 : 7,189.29 = 3,532.41 : x
  2. Step 2: Convert to fraction form
    5,211.57/7,189.29 = 3,532.41/x
  3. Step 3: Cross multiply
    5,211.57x = 7,189.29 × 3,532.41
  4. Step 4: Simplify right side
    5,211.57x = 25,395,519.89
  5. Step 5: Solve for x
    x = 25,395,519.89/5,211.57
  6. Step 6: Final answer
    x = 4,872.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.