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Finding the Fourth Proportional to 5,796.25, 8,696.06 and 1,692.25

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Solution

The fourth proportional to 5,796.25, 8,696.06 and 1,692.25 is: 2,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.25 : 8,696.06 = 1,692.25 : x
  2. Step 2: Convert to fraction form
    5,796.25/8,696.06 = 1,692.25/x
  3. Step 3: Cross multiply
    5,796.25x = 8,696.06 × 1,692.25
  4. Step 4: Simplify right side
    5,796.25x = 14,715,899.07
  5. Step 5: Solve for x
    x = 14,715,899.07/5,796.25
  6. Step 6: Final answer
    x = 2,538.87

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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.