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Finding the Fourth Proportional to 3,127.34, 4,692.06 and 1,047.56

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Solution

The fourth proportional to 3,127.34, 4,692.06 and 1,047.56 is: 1,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.34 : 4,692.06 = 1,047.56 : x
  2. Step 2: Convert to fraction form
    3,127.34/4,692.06 = 1,047.56/x
  3. Step 3: Cross multiply
    3,127.34x = 4,692.06 × 1,047.56
  4. Step 4: Simplify right side
    3,127.34x = 4,915,190.91
  5. Step 5: Solve for x
    x = 4,915,190.91/3,127.34
  6. Step 6: Final answer
    x = 1,571.68

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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.