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Finding the Fourth Proportional to 4,524.98, 6,242.54 and 3,199.82

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Solution

The fourth proportional to 4,524.98, 6,242.54 and 3,199.82 is: 4,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.98 : 6,242.54 = 3,199.82 : x
  2. Step 2: Convert to fraction form
    4,524.98/6,242.54 = 3,199.82/x
  3. Step 3: Cross multiply
    4,524.98x = 6,242.54 × 3,199.82
  4. Step 4: Simplify right side
    4,524.98x = 19,975,004.34
  5. Step 5: Solve for x
    x = 19,975,004.34/4,524.98
  6. Step 6: Final answer
    x = 4,414.39

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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.