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Finding the Fourth Proportional to 3,438.41, 4,740.50 and 3,391.92

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Solution

The fourth proportional to 3,438.41, 4,740.50 and 3,391.92 is: 4,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.41 : 4,740.50 = 3,391.92 : x
  2. Step 2: Convert to fraction form
    3,438.41/4,740.50 = 3,391.92/x
  3. Step 3: Cross multiply
    3,438.41x = 4,740.50 × 3,391.92
  4. Step 4: Simplify right side
    3,438.41x = 16,079,405.24
  5. Step 5: Solve for x
    x = 16,079,405.24/3,438.41
  6. Step 6: Final answer
    x = 4,676.41

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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.