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Finding the Fourth Proportional to 5,865, 8,093.70 and 3,381

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Solution

The fourth proportional to 5,865, 8,093.70 and 3,381 is: 4,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 8,093.70 = 3,381 : x
  2. Step 2: Convert to fraction form
    5,865/8,093.70 = 3,381/x
  3. Step 3: Cross multiply
    5,865x = 8,093.70 × 3,381
  4. Step 4: Simplify right side
    5,865x = 27,364,799.70
  5. Step 5: Solve for x
    x = 27,364,799.70/5,865
  6. Step 6: Final answer
    x = 4,665.78

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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.