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Finding the Fourth Proportional to 6,459.24, 9,692.58 and 3,650.30

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Solution

The fourth proportional to 6,459.24, 9,692.58 and 3,650.30 is: 5,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.24 : 9,692.58 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    6,459.24/9,692.58 = 3,650.30/x
  3. Step 3: Cross multiply
    6,459.24x = 9,692.58 × 3,650.30
  4. Step 4: Simplify right side
    6,459.24x = 35,380,824.77
  5. Step 5: Solve for x
    x = 35,380,824.77/6,459.24
  6. Step 6: Final answer
    x = 5,477.55

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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.