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Finding the Fourth Proportional to 6,692.84, 10,039.02 and 3,184.54

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Solution

The fourth proportional to 6,692.84, 10,039.02 and 3,184.54 is: 4,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.84 : 10,039.02 = 3,184.54 : x
  2. Step 2: Convert to fraction form
    6,692.84/10,039.02 = 3,184.54/x
  3. Step 3: Cross multiply
    6,692.84x = 10,039.02 × 3,184.54
  4. Step 4: Simplify right side
    6,692.84x = 31,969,660.75
  5. Step 5: Solve for x
    x = 31,969,660.75/6,692.84
  6. Step 6: Final answer
    x = 4,776.70

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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.