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Finding the Fourth Proportional to 5,271.48, 7,906.68 and 1,375.38

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Solution

The fourth proportional to 5,271.48, 7,906.68 and 1,375.38 is: 2,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.48 : 7,906.68 = 1,375.38 : x
  2. Step 2: Convert to fraction form
    5,271.48/7,906.68 = 1,375.38/x
  3. Step 3: Cross multiply
    5,271.48x = 7,906.68 × 1,375.38
  4. Step 4: Simplify right side
    5,271.48x = 10,874,689.54
  5. Step 5: Solve for x
    x = 10,874,689.54/5,271.48
  6. Step 6: Final answer
    x = 2,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.