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Finding the Fourth Proportional to 5,271.82, 7,275.15 and 2,914.03

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Solution

The fourth proportional to 5,271.82, 7,275.15 and 2,914.03 is: 4,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.82 : 7,275.15 = 2,914.03 : x
  2. Step 2: Convert to fraction form
    5,271.82/7,275.15 = 2,914.03/x
  3. Step 3: Cross multiply
    5,271.82x = 7,275.15 × 2,914.03
  4. Step 4: Simplify right side
    5,271.82x = 21,200,005.35
  5. Step 5: Solve for x
    x = 21,200,005.35/5,271.82
  6. Step 6: Final answer
    x = 4,021.38

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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.