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Finding the Fourth Proportional to 5,924, 8,175 and 3,271.34

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Solution

The fourth proportional to 5,924, 8,175 and 3,271.34 is: 4,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924 : 8,175 = 3,271.34 : x
  2. Step 2: Convert to fraction form
    5,924/8,175 = 3,271.34/x
  3. Step 3: Cross multiply
    5,924x = 8,175 × 3,271.34
  4. Step 4: Simplify right side
    5,924x = 26,743,204.50
  5. Step 5: Solve for x
    x = 26,743,204.50/5,924
  6. Step 6: Final answer
    x = 4,514.38

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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.