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Finding the Fourth Proportional to 5,271.61, 7,907.42 and 1,375.98

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Solution

The fourth proportional to 5,271.61, 7,907.42 and 1,375.98 is: 2,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.61 : 7,907.42 = 1,375.98 : x
  2. Step 2: Convert to fraction form
    5,271.61/7,907.42 = 1,375.98/x
  3. Step 3: Cross multiply
    5,271.61x = 7,907.42 × 1,375.98
  4. Step 4: Simplify right side
    5,271.61x = 10,880,451.77
  5. Step 5: Solve for x
    x = 10,880,451.77/5,271.61
  6. Step 6: Final answer
    x = 2,063.97

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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.