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Finding the Fourth Proportional to 5,740.48, 8,614.08 and 2,662.48

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Solution

The fourth proportional to 5,740.48, 8,614.08 and 2,662.48 is: 3,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.48 : 8,614.08 = 2,662.48 : x
  2. Step 2: Convert to fraction form
    5,740.48/8,614.08 = 2,662.48/x
  3. Step 3: Cross multiply
    5,740.48x = 8,614.08 × 2,662.48
  4. Step 4: Simplify right side
    5,740.48x = 22,934,815.72
  5. Step 5: Solve for x
    x = 22,934,815.72/5,740.48
  6. Step 6: Final answer
    x = 3,995.28

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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.