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Finding the Fourth Proportional to 3,496.59, 5,241.19 and 1,761.57

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Solution

The fourth proportional to 3,496.59, 5,241.19 and 1,761.57 is: 2,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.59 : 5,241.19 = 1,761.57 : x
  2. Step 2: Convert to fraction form
    3,496.59/5,241.19 = 1,761.57/x
  3. Step 3: Cross multiply
    3,496.59x = 5,241.19 × 1,761.57
  4. Step 4: Simplify right side
    3,496.59x = 9,232,723.07
  5. Step 5: Solve for x
    x = 9,232,723.07/3,496.59
  6. Step 6: Final answer
    x = 2,640.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.