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Finding the Fourth Proportional to 4,756.87, 7,125.14 and 3,863.37

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Solution

The fourth proportional to 4,756.87, 7,125.14 and 3,863.37 is: 5,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.87 : 7,125.14 = 3,863.37 : x
  2. Step 2: Convert to fraction form
    4,756.87/7,125.14 = 3,863.37/x
  3. Step 3: Cross multiply
    4,756.87x = 7,125.14 × 3,863.37
  4. Step 4: Simplify right side
    4,756.87x = 27,527,061.78
  5. Step 5: Solve for x
    x = 27,527,061.78/4,756.87
  6. Step 6: Final answer
    x = 5,786.80

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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.