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Finding the Fourth Proportional to 3,692.23, 5,101.76 and 2,952.29

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Solution

The fourth proportional to 3,692.23, 5,101.76 and 2,952.29 is: 4,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.23 : 5,101.76 = 2,952.29 : x
  2. Step 2: Convert to fraction form
    3,692.23/5,101.76 = 2,952.29/x
  3. Step 3: Cross multiply
    3,692.23x = 5,101.76 × 2,952.29
  4. Step 4: Simplify right side
    3,692.23x = 15,061,875.03
  5. Step 5: Solve for x
    x = 15,061,875.03/3,692.23
  6. Step 6: Final answer
    x = 4,079.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.