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Finding the Fourth Proportional to 5,753.78, 8,629.08 and 1,592.78

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Solution

The fourth proportional to 5,753.78, 8,629.08 and 1,592.78 is: 2,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.78 : 8,629.08 = 1,592.78 : x
  2. Step 2: Convert to fraction form
    5,753.78/8,629.08 = 1,592.78/x
  3. Step 3: Cross multiply
    5,753.78x = 8,629.08 × 1,592.78
  4. Step 4: Simplify right side
    5,753.78x = 13,744,226.04
  5. Step 5: Solve for x
    x = 13,744,226.04/5,753.78
  6. Step 6: Final answer
    x = 2,388.73

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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.