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Finding the Fourth Proportional to 5,752.42, 8,629.12 and 1,592.43

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Solution

The fourth proportional to 5,752.42, 8,629.12 and 1,592.43 is: 2,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.42 : 8,629.12 = 1,592.43 : x
  2. Step 2: Convert to fraction form
    5,752.42/8,629.12 = 1,592.43/x
  3. Step 3: Cross multiply
    5,752.42x = 8,629.12 × 1,592.43
  4. Step 4: Simplify right side
    5,752.42x = 13,741,230.24
  5. Step 5: Solve for x
    x = 13,741,230.24/5,752.42
  6. Step 6: Final answer
    x = 2,388.77

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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.