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Finding the Fourth Proportional to 4,762.38, 7,144.32 and 1,474.70

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Solution

The fourth proportional to 4,762.38, 7,144.32 and 1,474.70 is: 2,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.38 : 7,144.32 = 1,474.70 : x
  2. Step 2: Convert to fraction form
    4,762.38/7,144.32 = 1,474.70/x
  3. Step 3: Cross multiply
    4,762.38x = 7,144.32 × 1,474.70
  4. Step 4: Simplify right side
    4,762.38x = 10,535,692.98
  5. Step 5: Solve for x
    x = 10,535,692.98/4,762.38
  6. Step 6: Final answer
    x = 2,212.27

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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.