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Finding the Fourth Proportional to 3,135.69, 4,327.38 and 1,809.39

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Solution

The fourth proportional to 3,135.69, 4,327.38 and 1,809.39 is: 2,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.69 : 4,327.38 = 1,809.39 : x
  2. Step 2: Convert to fraction form
    3,135.69/4,327.38 = 1,809.39/x
  3. Step 3: Cross multiply
    3,135.69x = 4,327.38 × 1,809.39
  4. Step 4: Simplify right side
    3,135.69x = 7,829,918.10
  5. Step 5: Solve for x
    x = 7,829,918.10/3,135.69
  6. Step 6: Final answer
    x = 2,497.03

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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.