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Finding the Fourth Proportional to 4,799.82, 7,188.21 and 2,743.50

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Solution

The fourth proportional to 4,799.82, 7,188.21 and 2,743.50 is: 4,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.82 : 7,188.21 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    4,799.82/7,188.21 = 2,743.50/x
  3. Step 3: Cross multiply
    4,799.82x = 7,188.21 × 2,743.50
  4. Step 4: Simplify right side
    4,799.82x = 19,720,854.14
  5. Step 5: Solve for x
    x = 19,720,854.14/4,799.82
  6. Step 6: Final answer
    x = 4,108.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.