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Finding the Fourth Proportional to 4,175.51, 5,731.49 and 3,692.82

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Solution

The fourth proportional to 4,175.51, 5,731.49 and 3,692.82 is: 5,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.51 : 5,731.49 = 3,692.82 : x
  2. Step 2: Convert to fraction form
    4,175.51/5,731.49 = 3,692.82/x
  3. Step 3: Cross multiply
    4,175.51x = 5,731.49 × 3,692.82
  4. Step 4: Simplify right side
    4,175.51x = 21,165,342.44
  5. Step 5: Solve for x
    x = 21,165,342.44/4,175.51
  6. Step 6: Final answer
    x = 5,068.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.