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Finding the Fourth Proportional to 5,425, 7,486.50 and 2,941

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Solution

The fourth proportional to 5,425, 7,486.50 and 2,941 is: 4,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425 : 7,486.50 = 2,941 : x
  2. Step 2: Convert to fraction form
    5,425/7,486.50 = 2,941/x
  3. Step 3: Cross multiply
    5,425x = 7,486.50 × 2,941
  4. Step 4: Simplify right side
    5,425x = 22,017,796.50
  5. Step 5: Solve for x
    x = 22,017,796.50/5,425
  6. Step 6: Final answer
    x = 4,058.58

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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.