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Finding the Fourth Proportional to 3,846.55, 5,780.65 and 2,286.83

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Solution

The fourth proportional to 3,846.55, 5,780.65 and 2,286.83 is: 3,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.55 : 5,780.65 = 2,286.83 : x
  2. Step 2: Convert to fraction form
    3,846.55/5,780.65 = 2,286.83/x
  3. Step 3: Cross multiply
    3,846.55x = 5,780.65 × 2,286.83
  4. Step 4: Simplify right side
    3,846.55x = 13,219,381.15
  5. Step 5: Solve for x
    x = 13,219,381.15/3,846.55
  6. Step 6: Final answer
    x = 3,436.68

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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.