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Finding the Fourth Proportional to 4,131.70, 5,703.97 and 3,185.42

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Solution

The fourth proportional to 4,131.70, 5,703.97 and 3,185.42 is: 4,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.70 : 5,703.97 = 3,185.42 : x
  2. Step 2: Convert to fraction form
    4,131.70/5,703.97 = 3,185.42/x
  3. Step 3: Cross multiply
    4,131.70x = 5,703.97 × 3,185.42
  4. Step 4: Simplify right side
    4,131.70x = 18,169,503.63
  5. Step 5: Solve for x
    x = 18,169,503.63/4,131.70
  6. Step 6: Final answer
    x = 4,397.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.