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Finding the Fourth Proportional to 3,086.86, 4,642.05 and 2,463.58

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Solution

The fourth proportional to 3,086.86, 4,642.05 and 2,463.58 is: 3,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.86 : 4,642.05 = 2,463.58 : x
  2. Step 2: Convert to fraction form
    3,086.86/4,642.05 = 2,463.58/x
  3. Step 3: Cross multiply
    3,086.86x = 4,642.05 × 2,463.58
  4. Step 4: Simplify right side
    3,086.86x = 11,436,061.54
  5. Step 5: Solve for x
    x = 11,436,061.54/3,086.86
  6. Step 6: Final answer
    x = 3,704.76

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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.