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Finding the Fourth Proportional to 5,165.16, 7,747.94 and 1,467.71

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Solution

The fourth proportional to 5,165.16, 7,747.94 and 1,467.71 is: 2,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.16 : 7,747.94 = 1,467.71 : x
  2. Step 2: Convert to fraction form
    5,165.16/7,747.94 = 1,467.71/x
  3. Step 3: Cross multiply
    5,165.16x = 7,747.94 × 1,467.71
  4. Step 4: Simplify right side
    5,165.16x = 11,371,729.02
  5. Step 5: Solve for x
    x = 11,371,729.02/5,165.16
  6. Step 6: Final answer
    x = 2,201.62

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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.