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Finding the Fourth Proportional to 3,732.54, 5,150 and 3,137.28

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Solution

The fourth proportional to 3,732.54, 5,150 and 3,137.28 is: 4,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.54 : 5,150 = 3,137.28 : x
  2. Step 2: Convert to fraction form
    3,732.54/5,150 = 3,137.28/x
  3. Step 3: Cross multiply
    3,732.54x = 5,150 × 3,137.28
  4. Step 4: Simplify right side
    3,732.54x = 16,156,992.00
  5. Step 5: Solve for x
    x = 16,156,992.00/3,732.54
  6. Step 6: Final answer
    x = 4,328.69

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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.