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Finding the Fourth Proportional to 3,692.50, 5,102.94 and 3,298.84

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Solution

The fourth proportional to 3,692.50, 5,102.94 and 3,298.84 is: 4,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.50 : 5,102.94 = 3,298.84 : x
  2. Step 2: Convert to fraction form
    3,692.50/5,102.94 = 3,298.84/x
  3. Step 3: Cross multiply
    3,692.50x = 5,102.94 × 3,298.84
  4. Step 4: Simplify right side
    3,692.50x = 16,833,782.59
  5. Step 5: Solve for x
    x = 16,833,782.59/3,692.50
  6. Step 6: Final answer
    x = 4,558.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.