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Finding the Fourth Proportional to 3,127.48, 4,692.05 and 936.22

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Solution

The fourth proportional to 3,127.48, 4,692.05 and 936.22 is: 1,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.48 : 4,692.05 = 936.22 : x
  2. Step 2: Convert to fraction form
    3,127.48/4,692.05 = 936.22/x
  3. Step 3: Cross multiply
    3,127.48x = 4,692.05 × 936.22
  4. Step 4: Simplify right side
    3,127.48x = 4,392,791.05
  5. Step 5: Solve for x
    x = 4,392,791.05/3,127.48
  6. Step 6: Final answer
    x = 1,404.58

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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.