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Finding the Fourth Proportional to 3,692.94, 5,094.64 and 2,347.83

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Solution

The fourth proportional to 3,692.94, 5,094.64 and 2,347.83 is: 3,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.94 : 5,094.64 = 2,347.83 : x
  2. Step 2: Convert to fraction form
    3,692.94/5,094.64 = 2,347.83/x
  3. Step 3: Cross multiply
    3,692.94x = 5,094.64 × 2,347.83
  4. Step 4: Simplify right side
    3,692.94x = 11,961,322.78
  5. Step 5: Solve for x
    x = 11,961,322.78/3,692.94
  6. Step 6: Final answer
    x = 3,238.97

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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.