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Finding the Fourth Proportional to 5,779.64, 7,979.33 and 3,793.67

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Solution

The fourth proportional to 5,779.64, 7,979.33 and 3,793.67 is: 5,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.64 : 7,979.33 = 3,793.67 : x
  2. Step 2: Convert to fraction form
    5,779.64/7,979.33 = 3,793.67/x
  3. Step 3: Cross multiply
    5,779.64x = 7,979.33 × 3,793.67
  4. Step 4: Simplify right side
    5,779.64x = 30,270,944.84
  5. Step 5: Solve for x
    x = 30,270,944.84/5,779.64
  6. Step 6: Final answer
    x = 5,237.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.