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Finding the Fourth Proportional to 3,127.86, 4,692.51 and 936.81

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Solution

The fourth proportional to 3,127.86, 4,692.51 and 936.81 is: 1,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.86 : 4,692.51 = 936.81 : x
  2. Step 2: Convert to fraction form
    3,127.86/4,692.51 = 936.81/x
  3. Step 3: Cross multiply
    3,127.86x = 4,692.51 × 936.81
  4. Step 4: Simplify right side
    3,127.86x = 4,395,990.29
  5. Step 5: Solve for x
    x = 4,395,990.29/3,127.86
  6. Step 6: Final answer
    x = 1,405.43

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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.