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Finding the Fourth Proportional to 3,127.56, 4,691.34 and 936.31

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Solution

The fourth proportional to 3,127.56, 4,691.34 and 936.31 is: 1,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.56 : 4,691.34 = 936.31 : x
  2. Step 2: Convert to fraction form
    3,127.56/4,691.34 = 936.31/x
  3. Step 3: Cross multiply
    3,127.56x = 4,691.34 × 936.31
  4. Step 4: Simplify right side
    3,127.56x = 4,392,548.56
  5. Step 5: Solve for x
    x = 4,392,548.56/3,127.56
  6. Step 6: Final answer
    x = 1,404.47

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