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Finding the Fourth Proportional to 3,129.27, 4,692.51 and 937.59

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Solution

The fourth proportional to 3,129.27, 4,692.51 and 937.59 is: 1,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.27 : 4,692.51 = 937.59 : x
  2. Step 2: Convert to fraction form
    3,129.27/4,692.51 = 937.59/x
  3. Step 3: Cross multiply
    3,129.27x = 4,692.51 × 937.59
  4. Step 4: Simplify right side
    3,129.27x = 4,399,650.45
  5. Step 5: Solve for x
    x = 4,399,650.45/3,129.27
  6. Step 6: Final answer
    x = 1,405.97

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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.