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Finding the Fourth Proportional to 3,995.86, 5,512.98 and 2,423.38

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Solution

The fourth proportional to 3,995.86, 5,512.98 and 2,423.38 is: 3,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.86 : 5,512.98 = 2,423.38 : x
  2. Step 2: Convert to fraction form
    3,995.86/5,512.98 = 2,423.38/x
  3. Step 3: Cross multiply
    3,995.86x = 5,512.98 × 2,423.38
  4. Step 4: Simplify right side
    3,995.86x = 13,360,045.47
  5. Step 5: Solve for x
    x = 13,360,045.47/3,995.86
  6. Step 6: Final answer
    x = 3,343.47

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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.