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Finding the Fourth Proportional to 5,814.38, 8,024.87 and 3,424.48

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Solution

The fourth proportional to 5,814.38, 8,024.87 and 3,424.48 is: 4,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.38 : 8,024.87 = 3,424.48 : x
  2. Step 2: Convert to fraction form
    5,814.38/8,024.87 = 3,424.48/x
  3. Step 3: Cross multiply
    5,814.38x = 8,024.87 × 3,424.48
  4. Step 4: Simplify right side
    5,814.38x = 27,480,995.32
  5. Step 5: Solve for x
    x = 27,480,995.32/5,814.38
  6. Step 6: Final answer
    x = 4,726.38

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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.