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Finding the Fourth Proportional to 3,845.79, 5,305.22 and 2,586.98

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Solution

The fourth proportional to 3,845.79, 5,305.22 and 2,586.98 is: 3,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.79 : 5,305.22 = 2,586.98 : x
  2. Step 2: Convert to fraction form
    3,845.79/5,305.22 = 2,586.98/x
  3. Step 3: Cross multiply
    3,845.79x = 5,305.22 × 2,586.98
  4. Step 4: Simplify right side
    3,845.79x = 13,724,498.04
  5. Step 5: Solve for x
    x = 13,724,498.04/3,845.79
  6. Step 6: Final answer
    x = 3,568.71

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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.