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Finding the Fourth Proportional to 3,869.98, 5,788.50 and 2,306.41

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Solution

The fourth proportional to 3,869.98, 5,788.50 and 2,306.41 is: 3,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.98 : 5,788.50 = 2,306.41 : x
  2. Step 2: Convert to fraction form
    3,869.98/5,788.50 = 2,306.41/x
  3. Step 3: Cross multiply
    3,869.98x = 5,788.50 × 2,306.41
  4. Step 4: Simplify right side
    3,869.98x = 13,350,654.29
  5. Step 5: Solve for x
    x = 13,350,654.29/3,869.98
  6. Step 6: Final answer
    x = 3,449.80

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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.