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Finding the Fourth Proportional to 5,322.87, 7,970.31 and 3,754.41

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Solution

The fourth proportional to 5,322.87, 7,970.31 and 3,754.41 is: 5,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.87 : 7,970.31 = 3,754.41 : x
  2. Step 2: Convert to fraction form
    5,322.87/7,970.31 = 3,754.41/x
  3. Step 3: Cross multiply
    5,322.87x = 7,970.31 × 3,754.41
  4. Step 4: Simplify right side
    5,322.87x = 29,923,811.57
  5. Step 5: Solve for x
    x = 29,923,811.57/5,322.87
  6. Step 6: Final answer
    x = 5,621.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.