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Finding the Fourth Proportional to 6,021.93, 8,314.05 and 3,898.41

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Solution

The fourth proportional to 6,021.93, 8,314.05 and 3,898.41 is: 5,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.93 : 8,314.05 = 3,898.41 : x
  2. Step 2: Convert to fraction form
    6,021.93/8,314.05 = 3,898.41/x
  3. Step 3: Cross multiply
    6,021.93x = 8,314.05 × 3,898.41
  4. Step 4: Simplify right side
    6,021.93x = 32,411,575.66
  5. Step 5: Solve for x
    x = 32,411,575.66/6,021.93
  6. Step 6: Final answer
    x = 5,382.26

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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.