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Finding the Fourth Proportional to 5,796.17, 8,692.17 and 2,507.47

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Solution

The fourth proportional to 5,796.17, 8,692.17 and 2,507.47 is: 3,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.17 : 8,692.17 = 2,507.47 : x
  2. Step 2: Convert to fraction form
    5,796.17/8,692.17 = 2,507.47/x
  3. Step 3: Cross multiply
    5,796.17x = 8,692.17 × 2,507.47
  4. Step 4: Simplify right side
    5,796.17x = 21,795,355.51
  5. Step 5: Solve for x
    x = 21,795,355.51/5,796.17
  6. Step 6: Final answer
    x = 3,760.30

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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.