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Finding the Fourth Proportional to 5,271.90, 7,274.97 and 2,914.26

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Solution

The fourth proportional to 5,271.90, 7,274.97 and 2,914.26 is: 4,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.90 : 7,274.97 = 2,914.26 : x
  2. Step 2: Convert to fraction form
    5,271.90/7,274.97 = 2,914.26/x
  3. Step 3: Cross multiply
    5,271.90x = 7,274.97 × 2,914.26
  4. Step 4: Simplify right side
    5,271.90x = 21,201,154.07
  5. Step 5: Solve for x
    x = 21,201,154.07/5,271.90
  6. Step 6: Final answer
    x = 4,021.54

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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.