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Finding the Fourth Proportional to 5,866.38, 8,095.60 and 3,213.80

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Solution

The fourth proportional to 5,866.38, 8,095.60 and 3,213.80 is: 4,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.38 : 8,095.60 = 3,213.80 : x
  2. Step 2: Convert to fraction form
    5,866.38/8,095.60 = 3,213.80/x
  3. Step 3: Cross multiply
    5,866.38x = 8,095.60 × 3,213.80
  4. Step 4: Simplify right side
    5,866.38x = 26,017,639.28
  5. Step 5: Solve for x
    x = 26,017,639.28/5,866.38
  6. Step 6: Final answer
    x = 4,435.04

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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.