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Finding the Fourth Proportional to 4,310.06, 6,463.10 and 1,711.22

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Solution

The fourth proportional to 4,310.06, 6,463.10 and 1,711.22 is: 2,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.06 : 6,463.10 = 1,711.22 : x
  2. Step 2: Convert to fraction form
    4,310.06/6,463.10 = 1,711.22/x
  3. Step 3: Cross multiply
    4,310.06x = 6,463.10 × 1,711.22
  4. Step 4: Simplify right side
    4,310.06x = 11,059,785.98
  5. Step 5: Solve for x
    x = 11,059,785.98/4,310.06
  6. Step 6: Final answer
    x = 2,566.04

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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.