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Finding the Fourth Proportional to 5,138.46, 7,700.40 and 3,754.98

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Solution

The fourth proportional to 5,138.46, 7,700.40 and 3,754.98 is: 5,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.46 : 7,700.40 = 3,754.98 : x
  2. Step 2: Convert to fraction form
    5,138.46/7,700.40 = 3,754.98/x
  3. Step 3: Cross multiply
    5,138.46x = 7,700.40 × 3,754.98
  4. Step 4: Simplify right side
    5,138.46x = 28,914,847.99
  5. Step 5: Solve for x
    x = 28,914,847.99/5,138.46
  6. Step 6: Final answer
    x = 5,627.14

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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.