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Finding the Fourth Proportional to 3,902, 5,853 and 1,166

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Solution

The fourth proportional to 3,902, 5,853 and 1,166 is: 1,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,853 = 1,166 : x
  2. Step 2: Convert to fraction form
    3,902/5,853 = 1,166/x
  3. Step 3: Cross multiply
    3,902x = 5,853 × 1,166
  4. Step 4: Simplify right side
    3,902x = 6,824,598
  5. Step 5: Solve for x
    x = 6,824,598/3,902
  6. Step 6: Final answer
    x = 1,749

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.