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Finding the Fourth Proportional to 5,326.46, 7,990.24 and 2,042.30

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Solution

The fourth proportional to 5,326.46, 7,990.24 and 2,042.30 is: 3,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.46 : 7,990.24 = 2,042.30 : x
  2. Step 2: Convert to fraction form
    5,326.46/7,990.24 = 2,042.30/x
  3. Step 3: Cross multiply
    5,326.46x = 7,990.24 × 2,042.30
  4. Step 4: Simplify right side
    5,326.46x = 16,318,467.15
  5. Step 5: Solve for x
    x = 16,318,467.15/5,326.46
  6. Step 6: Final answer
    x = 3,063.66

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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.