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Finding the Fourth Proportional to 3,756.96, 5,632.92 and 3,366

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Solution

The fourth proportional to 3,756.96, 5,632.92 and 3,366 is: 5,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.96 : 5,632.92 = 3,366 : x
  2. Step 2: Convert to fraction form
    3,756.96/5,632.92 = 3,366/x
  3. Step 3: Cross multiply
    3,756.96x = 5,632.92 × 3,366
  4. Step 4: Simplify right side
    3,756.96x = 18,960,408.72
  5. Step 5: Solve for x
    x = 18,960,408.72/3,756.96
  6. Step 6: Final answer
    x = 5,046.74

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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.