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Finding the Fourth Proportional to 4,476.86, 6,715.43 and 2,137.11

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Solution

The fourth proportional to 4,476.86, 6,715.43 and 2,137.11 is: 3,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.86 : 6,715.43 = 2,137.11 : x
  2. Step 2: Convert to fraction form
    4,476.86/6,715.43 = 2,137.11/x
  3. Step 3: Cross multiply
    4,476.86x = 6,715.43 × 2,137.11
  4. Step 4: Simplify right side
    4,476.86x = 14,351,601.92
  5. Step 5: Solve for x
    x = 14,351,601.92/4,476.86
  6. Step 6: Final answer
    x = 3,205.73

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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.