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Finding the Fourth Proportional to 5,579.49, 8,370 and 1,882.78

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Solution

The fourth proportional to 5,579.49, 8,370 and 1,882.78 is: 2,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.49 : 8,370 = 1,882.78 : x
  2. Step 2: Convert to fraction form
    5,579.49/8,370 = 1,882.78/x
  3. Step 3: Cross multiply
    5,579.49x = 8,370 × 1,882.78
  4. Step 4: Simplify right side
    5,579.49x = 15,758,868.60
  5. Step 5: Solve for x
    x = 15,758,868.60/5,579.49
  6. Step 6: Final answer
    x = 2,824.43

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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.