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Finding the Fourth Proportional to 5,542.66, 8,316.15 and 2,462.50

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Solution

The fourth proportional to 5,542.66, 8,316.15 and 2,462.50 is: 3,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.66 : 8,316.15 = 2,462.50 : x
  2. Step 2: Convert to fraction form
    5,542.66/8,316.15 = 2,462.50/x
  3. Step 3: Cross multiply
    5,542.66x = 8,316.15 × 2,462.50
  4. Step 4: Simplify right side
    5,542.66x = 20,478,519.38
  5. Step 5: Solve for x
    x = 20,478,519.38/5,542.66
  6. Step 6: Final answer
    x = 3,694.71

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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.