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Finding the Fourth Proportional to 5,856.68, 8,084.10 and 3,869

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Solution

The fourth proportional to 5,856.68, 8,084.10 and 3,869 is: 5,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.68 : 8,084.10 = 3,869 : x
  2. Step 2: Convert to fraction form
    5,856.68/8,084.10 = 3,869/x
  3. Step 3: Cross multiply
    5,856.68x = 8,084.10 × 3,869
  4. Step 4: Simplify right side
    5,856.68x = 31,277,382.90
  5. Step 5: Solve for x
    x = 31,277,382.90/5,856.68
  6. Step 6: Final answer
    x = 5,340.46

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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.