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Finding the Fourth Proportional to 3,692.84, 5,096.17 and 2,014.24

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Solution

The fourth proportional to 3,692.84, 5,096.17 and 2,014.24 is: 2,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.84 : 5,096.17 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    3,692.84/5,096.17 = 2,014.24/x
  3. Step 3: Cross multiply
    3,692.84x = 5,096.17 × 2,014.24
  4. Step 4: Simplify right side
    3,692.84x = 10,264,934.15
  5. Step 5: Solve for x
    x = 10,264,934.15/3,692.84
  6. Step 6: Final answer
    x = 2,779.69

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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.