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Finding the Fourth Proportional to 3,711.34, 5,567.76 and 1,212.70

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Solution

The fourth proportional to 3,711.34, 5,567.76 and 1,212.70 is: 1,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.34 : 5,567.76 = 1,212.70 : x
  2. Step 2: Convert to fraction form
    3,711.34/5,567.76 = 1,212.70/x
  3. Step 3: Cross multiply
    3,711.34x = 5,567.76 × 1,212.70
  4. Step 4: Simplify right side
    3,711.34x = 6,751,988.65
  5. Step 5: Solve for x
    x = 6,751,988.65/3,711.34
  6. Step 6: Final answer
    x = 1,819.29

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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.