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Finding the Fourth Proportional to 3,692.16, 5,536.32 and 2,046.24

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Solution

The fourth proportional to 3,692.16, 5,536.32 and 2,046.24 is: 3,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.16 : 5,536.32 = 2,046.24 : x
  2. Step 2: Convert to fraction form
    3,692.16/5,536.32 = 2,046.24/x
  3. Step 3: Cross multiply
    3,692.16x = 5,536.32 × 2,046.24
  4. Step 4: Simplify right side
    3,692.16x = 11,328,639.44
  5. Step 5: Solve for x
    x = 11,328,639.44/3,692.16
  6. Step 6: Final answer
    x = 3,068.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.