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Finding the Fourth Proportional to 4,338.96, 6,509.20 and 3,104.24

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Solution

The fourth proportional to 4,338.96, 6,509.20 and 3,104.24 is: 4,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.96 : 6,509.20 = 3,104.24 : x
  2. Step 2: Convert to fraction form
    4,338.96/6,509.20 = 3,104.24/x
  3. Step 3: Cross multiply
    4,338.96x = 6,509.20 × 3,104.24
  4. Step 4: Simplify right side
    4,338.96x = 20,206,119.01
  5. Step 5: Solve for x
    x = 20,206,119.01/4,338.96
  6. Step 6: Final answer
    x = 4,656.90

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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.