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Finding the Fourth Proportional to 3,846.77, 5,311.70 and 2,432.75

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Solution

The fourth proportional to 3,846.77, 5,311.70 and 2,432.75 is: 3,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.77 : 5,311.70 = 2,432.75 : x
  2. Step 2: Convert to fraction form
    3,846.77/5,311.70 = 2,432.75/x
  3. Step 3: Cross multiply
    3,846.77x = 5,311.70 × 2,432.75
  4. Step 4: Simplify right side
    3,846.77x = 12,922,008.58
  5. Step 5: Solve for x
    x = 12,922,008.58/3,846.77
  6. Step 6: Final answer
    x = 3,359.19

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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.