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Finding the Fourth Proportional to 5,193, 7,166.34 and 2,985

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Solution

The fourth proportional to 5,193, 7,166.34 and 2,985 is: 4,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 7,166.34 = 2,985 : x
  2. Step 2: Convert to fraction form
    5,193/7,166.34 = 2,985/x
  3. Step 3: Cross multiply
    5,193x = 7,166.34 × 2,985
  4. Step 4: Simplify right side
    5,193x = 21,391,524.90
  5. Step 5: Solve for x
    x = 21,391,524.90/5,193
  6. Step 6: Final answer
    x = 4,119.30

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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.