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Finding the Fourth Proportional to 5,271.76, 7,275.18 and 2,914.12

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Solution

The fourth proportional to 5,271.76, 7,275.18 and 2,914.12 is: 4,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.76 : 7,275.18 = 2,914.12 : x
  2. Step 2: Convert to fraction form
    5,271.76/7,275.18 = 2,914.12/x
  3. Step 3: Cross multiply
    5,271.76x = 7,275.18 × 2,914.12
  4. Step 4: Simplify right side
    5,271.76x = 21,200,747.54
  5. Step 5: Solve for x
    x = 21,200,747.54/5,271.76
  6. Step 6: Final answer
    x = 4,021.57

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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.