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Finding the Fourth Proportional to 3,692.25, 5,095.31 and 2,295

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Solution

The fourth proportional to 3,692.25, 5,095.31 and 2,295 is: 3,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.25 : 5,095.31 = 2,295 : x
  2. Step 2: Convert to fraction form
    3,692.25/5,095.31 = 2,295/x
  3. Step 3: Cross multiply
    3,692.25x = 5,095.31 × 2,295
  4. Step 4: Simplify right side
    3,692.25x = 11,693,724.98
  5. Step 5: Solve for x
    x = 11,693,724.98/3,692.25
  6. Step 6: Final answer
    x = 3,167.10

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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.