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Finding the Fourth Proportional to 5,873.91, 8,106.06 and 3,221.38

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Solution

The fourth proportional to 5,873.91, 8,106.06 and 3,221.38 is: 4,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.91 : 8,106.06 = 3,221.38 : x
  2. Step 2: Convert to fraction form
    5,873.91/8,106.06 = 3,221.38/x
  3. Step 3: Cross multiply
    5,873.91x = 8,106.06 × 3,221.38
  4. Step 4: Simplify right side
    5,873.91x = 26,112,699.56
  5. Step 5: Solve for x
    x = 26,112,699.56/5,873.91
  6. Step 6: Final answer
    x = 4,445.54

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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.