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Finding the Fourth Proportional to 5,212.46, 7,818.02 and 1,316.64

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Solution

The fourth proportional to 5,212.46, 7,818.02 and 1,316.64 is: 1,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.46 : 7,818.02 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    5,212.46/7,818.02 = 1,316.64/x
  3. Step 3: Cross multiply
    5,212.46x = 7,818.02 × 1,316.64
  4. Step 4: Simplify right side
    5,212.46x = 10,293,517.85
  5. Step 5: Solve for x
    x = 10,293,517.85/5,212.46
  6. Step 6: Final answer
    x = 1,974.79

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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.