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Finding the Fourth Proportional to 3,523.86, 4,858.31 and 3,031.78

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Solution

The fourth proportional to 3,523.86, 4,858.31 and 3,031.78 is: 4,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.86 : 4,858.31 = 3,031.78 : x
  2. Step 2: Convert to fraction form
    3,523.86/4,858.31 = 3,031.78/x
  3. Step 3: Cross multiply
    3,523.86x = 4,858.31 × 3,031.78
  4. Step 4: Simplify right side
    3,523.86x = 14,729,327.09
  5. Step 5: Solve for x
    x = 14,729,327.09/3,523.86
  6. Step 6: Final answer
    x = 4,179.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.