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Finding the Fourth Proportional to 3,692.62, 5,095.98 and 2,013.96

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Solution

The fourth proportional to 3,692.62, 5,095.98 and 2,013.96 is: 2,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.62 : 5,095.98 = 2,013.96 : x
  2. Step 2: Convert to fraction form
    3,692.62/5,095.98 = 2,013.96/x
  3. Step 3: Cross multiply
    3,692.62x = 5,095.98 × 2,013.96
  4. Step 4: Simplify right side
    3,692.62x = 10,263,118.99
  5. Step 5: Solve for x
    x = 10,263,118.99/3,692.62
  6. Step 6: Final answer
    x = 2,779.36

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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.