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Finding the Fourth Proportional to 6,604.25, 9,112.43 and 3,808.13

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Solution

The fourth proportional to 6,604.25, 9,112.43 and 3,808.13 is: 5,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.25 : 9,112.43 = 3,808.13 : x
  2. Step 2: Convert to fraction form
    6,604.25/9,112.43 = 3,808.13/x
  3. Step 3: Cross multiply
    6,604.25x = 9,112.43 × 3,808.13
  4. Step 4: Simplify right side
    6,604.25x = 34,701,282.01
  5. Step 5: Solve for x
    x = 34,701,282.01/6,604.25
  6. Step 6: Final answer
    x = 5,254.39

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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.