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Finding the Fourth Proportional to 6,109.94, 8,431.88 and 3,315.44

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Solution

The fourth proportional to 6,109.94, 8,431.88 and 3,315.44 is: 4,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.94 : 8,431.88 = 3,315.44 : x
  2. Step 2: Convert to fraction form
    6,109.94/8,431.88 = 3,315.44/x
  3. Step 3: Cross multiply
    6,109.94x = 8,431.88 × 3,315.44
  4. Step 4: Simplify right side
    6,109.94x = 27,955,333.49
  5. Step 5: Solve for x
    x = 27,955,333.49/6,109.94
  6. Step 6: Final answer
    x = 4,575.39

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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.