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Finding the Fourth Proportional to 3,846.96, 5,306.17 and 2,355.62

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Solution

The fourth proportional to 3,846.96, 5,306.17 and 2,355.62 is: 3,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.96 : 5,306.17 = 2,355.62 : x
  2. Step 2: Convert to fraction form
    3,846.96/5,306.17 = 2,355.62/x
  3. Step 3: Cross multiply
    3,846.96x = 5,306.17 × 2,355.62
  4. Step 4: Simplify right side
    3,846.96x = 12,499,301.02
  5. Step 5: Solve for x
    x = 12,499,301.02/3,846.96
  6. Step 6: Final answer
    x = 3,249.14

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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.