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Finding the Fourth Proportional to 5,692.09, 8,539.02 and 2,405.20

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Solution

The fourth proportional to 5,692.09, 8,539.02 and 2,405.20 is: 3,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.09 : 8,539.02 = 2,405.20 : x
  2. Step 2: Convert to fraction form
    5,692.09/8,539.02 = 2,405.20/x
  3. Step 3: Cross multiply
    5,692.09x = 8,539.02 × 2,405.20
  4. Step 4: Simplify right side
    5,692.09x = 20,538,050.90
  5. Step 5: Solve for x
    x = 20,538,050.90/5,692.09
  6. Step 6: Final answer
    x = 3,608.17

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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.