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Finding the Fourth Proportional to 4,471.65, 6,170.91 and 2,704.43

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Solution

The fourth proportional to 4,471.65, 6,170.91 and 2,704.43 is: 3,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.65 : 6,170.91 = 2,704.43 : x
  2. Step 2: Convert to fraction form
    4,471.65/6,170.91 = 2,704.43/x
  3. Step 3: Cross multiply
    4,471.65x = 6,170.91 × 2,704.43
  4. Step 4: Simplify right side
    4,471.65x = 16,688,794.13
  5. Step 5: Solve for x
    x = 16,688,794.13/4,471.65
  6. Step 6: Final answer
    x = 3,732.13

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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.