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Finding the Fourth Proportional to 5,456.65, 8,180.10 and 2,167.51

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Solution

The fourth proportional to 5,456.65, 8,180.10 and 2,167.51 is: 3,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.65 : 8,180.10 = 2,167.51 : x
  2. Step 2: Convert to fraction form
    5,456.65/8,180.10 = 2,167.51/x
  3. Step 3: Cross multiply
    5,456.65x = 8,180.10 × 2,167.51
  4. Step 4: Simplify right side
    5,456.65x = 17,730,448.55
  5. Step 5: Solve for x
    x = 17,730,448.55/5,456.65
  6. Step 6: Final answer
    x = 3,249.33

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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.