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Finding the Fourth Proportional to 5,211.71, 7,192.14 and 2,853.89

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Solution

The fourth proportional to 5,211.71, 7,192.14 and 2,853.89 is: 3,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.71 : 7,192.14 = 2,853.89 : x
  2. Step 2: Convert to fraction form
    5,211.71/7,192.14 = 2,853.89/x
  3. Step 3: Cross multiply
    5,211.71x = 7,192.14 × 2,853.89
  4. Step 4: Simplify right side
    5,211.71x = 20,525,576.42
  5. Step 5: Solve for x
    x = 20,525,576.42/5,211.71
  6. Step 6: Final answer
    x = 3,938.36

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Why These Related Problems?

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