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Finding the Fourth Proportional to 3,692.94, 5,096.16 and 2,121

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Solution

The fourth proportional to 3,692.94, 5,096.16 and 2,121 is: 2,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.94 : 5,096.16 = 2,121 : x
  2. Step 2: Convert to fraction form
    3,692.94/5,096.16 = 2,121/x
  3. Step 3: Cross multiply
    3,692.94x = 5,096.16 × 2,121
  4. Step 4: Simplify right side
    3,692.94x = 10,808,955.36
  5. Step 5: Solve for x
    x = 10,808,955.36/3,692.94
  6. Step 6: Final answer
    x = 2,926.92

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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.