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Finding the Fourth Proportional to 5,773.46, 8,660.99 and 2,075

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Solution

The fourth proportional to 5,773.46, 8,660.99 and 2,075 is: 3,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.46 : 8,660.99 = 2,075 : x
  2. Step 2: Convert to fraction form
    5,773.46/8,660.99 = 2,075/x
  3. Step 3: Cross multiply
    5,773.46x = 8,660.99 × 2,075
  4. Step 4: Simplify right side
    5,773.46x = 17,971,543.88
  5. Step 5: Solve for x
    x = 17,971,543.88/5,773.46
  6. Step 6: Final answer
    x = 3,112.79

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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.