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Finding the Fourth Proportional to 5,912.14, 8,868.21 and 1,530.04

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Solution

The fourth proportional to 5,912.14, 8,868.21 and 1,530.04 is: 2,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.14 : 8,868.21 = 1,530.04 : x
  2. Step 2: Convert to fraction form
    5,912.14/8,868.21 = 1,530.04/x
  3. Step 3: Cross multiply
    5,912.14x = 8,868.21 × 1,530.04
  4. Step 4: Simplify right side
    5,912.14x = 13,568,716.03
  5. Step 5: Solve for x
    x = 13,568,716.03/5,912.14
  6. Step 6: Final answer
    x = 2,295.06

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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.