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Finding the Fourth Proportional to 3,752.56, 5,178.38 and 2,073.86

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Solution

The fourth proportional to 3,752.56, 5,178.38 and 2,073.86 is: 2,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.56 : 5,178.38 = 2,073.86 : x
  2. Step 2: Convert to fraction form
    3,752.56/5,178.38 = 2,073.86/x
  3. Step 3: Cross multiply
    3,752.56x = 5,178.38 × 2,073.86
  4. Step 4: Simplify right side
    3,752.56x = 10,739,214.44
  5. Step 5: Solve for x
    x = 10,739,214.44/3,752.56
  6. Step 6: Final answer
    x = 2,861.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.