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Finding the Fourth Proportional to 4,692.70, 6,474.08 and 3,013.87

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Solution

The fourth proportional to 4,692.70, 6,474.08 and 3,013.87 is: 4,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.70 : 6,474.08 = 3,013.87 : x
  2. Step 2: Convert to fraction form
    4,692.70/6,474.08 = 3,013.87/x
  3. Step 3: Cross multiply
    4,692.70x = 6,474.08 × 3,013.87
  4. Step 4: Simplify right side
    4,692.70x = 19,512,031.72
  5. Step 5: Solve for x
    x = 19,512,031.72/4,692.70
  6. Step 6: Final answer
    x = 4,157.96

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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.