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Finding the Fourth Proportional to 5,869, 8,099.94 and 3,385

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Solution

The fourth proportional to 5,869, 8,099.94 and 3,385 is: 4,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 8,099.94 = 3,385 : x
  2. Step 2: Convert to fraction form
    5,869/8,099.94 = 3,385/x
  3. Step 3: Cross multiply
    5,869x = 8,099.94 × 3,385
  4. Step 4: Simplify right side
    5,869x = 27,418,296.90
  5. Step 5: Solve for x
    x = 27,418,296.90/5,869
  6. Step 6: Final answer
    x = 4,671.72

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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.