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Finding the Fourth Proportional to 5,692.56, 8,529.12 and 3,090.84

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Solution

The fourth proportional to 5,692.56, 8,529.12 and 3,090.84 is: 4,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.56 : 8,529.12 = 3,090.84 : x
  2. Step 2: Convert to fraction form
    5,692.56/8,529.12 = 3,090.84/x
  3. Step 3: Cross multiply
    5,692.56x = 8,529.12 × 3,090.84
  4. Step 4: Simplify right side
    5,692.56x = 26,362,145.26
  5. Step 5: Solve for x
    x = 26,362,145.26/5,692.56
  6. Step 6: Final answer
    x = 4,630.98

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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.