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Finding the Fourth Proportional to 3,692.08, 5,094.94 and 2,013.46

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Solution

The fourth proportional to 3,692.08, 5,094.94 and 2,013.46 is: 2,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.08 : 5,094.94 = 2,013.46 : x
  2. Step 2: Convert to fraction form
    3,692.08/5,094.94 = 2,013.46/x
  3. Step 3: Cross multiply
    3,692.08x = 5,094.94 × 2,013.46
  4. Step 4: Simplify right side
    3,692.08x = 10,258,457.89
  5. Step 5: Solve for x
    x = 10,258,457.89/3,692.08
  6. Step 6: Final answer
    x = 2,778.50

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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.