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Finding the Fourth Proportional to 3,692.83, 5,096.01 and 2,014.28

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Solution

The fourth proportional to 3,692.83, 5,096.01 and 2,014.28 is: 2,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.83 : 5,096.01 = 2,014.28 : x
  2. Step 2: Convert to fraction form
    3,692.83/5,096.01 = 2,014.28/x
  3. Step 3: Cross multiply
    3,692.83x = 5,096.01 × 2,014.28
  4. Step 4: Simplify right side
    3,692.83x = 10,264,770.58
  5. Step 5: Solve for x
    x = 10,264,770.58/3,692.83
  6. Step 6: Final answer
    x = 2,779.65

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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.