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Finding the Fourth Proportional to 5,912.80, 8,869.18 and 1,529.90

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Solution

The fourth proportional to 5,912.80, 8,869.18 and 1,529.90 is: 2,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.80 : 8,869.18 = 1,529.90 : x
  2. Step 2: Convert to fraction form
    5,912.80/8,869.18 = 1,529.90/x
  3. Step 3: Cross multiply
    5,912.80x = 8,869.18 × 1,529.90
  4. Step 4: Simplify right side
    5,912.80x = 13,568,958.48
  5. Step 5: Solve for x
    x = 13,568,958.48/5,912.80
  6. Step 6: Final answer
    x = 2,294.84

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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.