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Finding the Fourth Proportional to 3,863.80, 5,803.45 and 2,306.84

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Solution

The fourth proportional to 3,863.80, 5,803.45 and 2,306.84 is: 3,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,803.45 = 2,306.84 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,803.45 = 2,306.84/x
  3. Step 3: Cross multiply
    3,863.80x = 5,803.45 × 2,306.84
  4. Step 4: Simplify right side
    3,863.80x = 13,387,630.60
  5. Step 5: Solve for x
    x = 13,387,630.60/3,863.80
  6. Step 6: Final answer
    x = 3,464.89

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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.