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Finding the Fourth Proportional to 5,271.38, 7,275.71 and 3,034.55

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Solution

The fourth proportional to 5,271.38, 7,275.71 and 3,034.55 is: 4,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.38 : 7,275.71 = 3,034.55 : x
  2. Step 2: Convert to fraction form
    5,271.38/7,275.71 = 3,034.55/x
  3. Step 3: Cross multiply
    5,271.38x = 7,275.71 × 3,034.55
  4. Step 4: Simplify right side
    5,271.38x = 22,078,487.59
  5. Step 5: Solve for x
    x = 22,078,487.59/5,271.38
  6. Step 6: Final answer
    x = 4,188.37

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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.