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Finding the Fourth Proportional to 4,257.39, 6,381.09 and 3,771.39

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Solution

The fourth proportional to 4,257.39, 6,381.09 and 3,771.39 is: 5,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.39 : 6,381.09 = 3,771.39 : x
  2. Step 2: Convert to fraction form
    4,257.39/6,381.09 = 3,771.39/x
  3. Step 3: Cross multiply
    4,257.39x = 6,381.09 × 3,771.39
  4. Step 4: Simplify right side
    4,257.39x = 24,065,579.02
  5. Step 5: Solve for x
    x = 24,065,579.02/4,257.39
  6. Step 6: Final answer
    x = 5,652.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.